I saw a ladder safety book by OSHA that had an explanation regarding the 4:1 height to base ratio. From this book, I understand that this ratio is for keeping the ladder at a safe angle of 75 degrees to prevent accidental slips while climbing. This information is explained on page number 11 of the book, which also provides an explanation of how to achieve this ratio.
To achieve a 4:1 set-up angle, a non-self-supporting ladder should have a set-up angle of about 75 degrees — a 4:1 ratio of the ladder's working length to the set-back distance.
Here's how to achieve it: Stand at the base of the ladder with your toes touching the rails. Extend your arms straight out in front of you. If the tips of your fingers just touch the rung nearest your shoulder level, the angle of your ladder has a 4:1 ratio.