Figure out a ring's size two ways: type in a measurement you already took, or measure it right on your screen using nothing but a credit card and the ring itself. Everything runs in your browser — nothing is uploaded anywhere.
This calibrates against a standard credit/debit/ID card, then lets you size the ring directly against your screen — accurate regardless of your screen's resolution or zoom level, since it measures against the real card rather than assuming a pixel density.
Hold a card up to the screen against the short edge (works on phones too) and drag until the box matches it exactly. Use arrow keys after clicking the slider for 1px nudges, or Shift+arrow for bigger jumps.