When you say it was showing low on the right rear tyre, what was the pressure?
How far had you been driving with that warning?
What was the pressure according to the gauge at the petrol station?
What was the pressure of all the other tyres?
I think the manual should explain how the pressure warning works better and give guidance in respect to how to set the correct tyre pressure.
I see drivers simply inflating their tyres, when in actual fact it could be the result of a malfunctioning sensor, a slow leak, temperature fluctuation due to car being parked half in the sunshine, half in the shade while inflating the tyres, etc...