How to Calculate Projector Throw Ratio

Use image width, not diagonal
Projector throw ratio equals lens-to-screen throw distance divided by image width. Rearranged, image width equals throw distance divided by throw ratio, and throw distance equals image width multiplied by throw ratio. Use one unit throughout and the active image width—not the diagonal. Epson's EB-PU2220-series specifications label throw ratio as projection distance divided by screen width and show that lens-specific ratios and distance formulas differ.
Use active image width in the calculation. A diagonal measurement cannot be substituted without converting it to width for the intended aspect ratio.
Define all three variables
- Throw distance: the distance from the projector's specified lens reference point to the image plane.
- Image width: the horizontal width of the projected picture, excluding a screen border.
- Throw ratio: a dimensionless relationship, often given as one value for fixed lenses or a range for optical zoom lenses.
Check the manual because the manufacturer may define the measurement reference and tolerances. Cabinet depth and mount location do not substitute for lens position.
Calculate from a known room distance
When placement is fixed, divide the measured throw distance by each end of the official throw-ratio range. Because width is distance divided by ratio, the lower ratio produces a wider image at the same distance and the higher ratio produces a narrower one.
Write units beside the distance and width before division, then confirm they match. A unit mismatch produces an invalid placement result and must be corrected before any installation decision.
Calculate placement from a chosen image width
When screen size is established, multiply the active image width by the minimum and maximum throw ratios. The results form the permitted lens-distance range for that image size, subject to the official installation calculator and other lens restrictions.
Do not place the mount at the theoretical edge without margin. Construction tolerances, lens reference, screen frame depth, mount adjustment, and desired zoom position all need room.
Keep aspect ratio in the conversion
Screen size is often marketed by diagonal, so convert the intended aspect ratio to active width before applying throw ratio. Use a trusted calculator or the Pythagorean relationship for the chosen width-to-height proportion, then verify the result against manufacturer tools.
A change from one aspect ratio to another can preserve diagonal while changing width. Throw ratio follows the width.
Account for zoom and special lenses
An optical zoom range permits several image widths at one distance. It does not guarantee equal brightness, sharpness, lens shift, or installation freedom at every point. Short-throw and ultra-short-throw products can be especially sensitive to small placement or surface changes; use their exact templates.
Compare short-throw and standard designs without transferring one model's ratio to another.
Record the real image plane
Record whether the screen surface sits forward of the wall. A framed screen can move the image plane enough that measuring only to drywall introduces a placement error.
Verify vertical geometry separately
Throw ratio answers horizontal size and distance, not image height, lens offset, vertical placement, or lens shift. Use the manual diagrams for those. A mathematically correct width can still put the image partly on the ceiling.
Before any drilling, use a temporary image or physical mock-up to check geometry, ventilation, and cable access at the planned ceiling or shelf location. Rerun every number independently. Do not drill for or adjust an overhead mount yourself. The Epson safety instructions state that ceiling or wall mounting should be performed by qualified technicians using hardware designed for the projector. The exact projector and mount manuals govern hardware, clearances, safety fittings, and installation method.
Projectors, mounts, screens, ladders, mains power, cables, lasers, lamps, heat, glass, batteries, and overhead installations can create shock, fire, fall, eye-injury, burn, or falling-object hazards. Follow the exact product manuals. Route overhead mounting, structural fixing, concealed mains wiring, and other non-user-service work to qualified local professionals. Never look into an operating projection lens or open equipment beyond user-service instructions. An independent publication. Not affiliated with any prior owner of this domain.