Record chains reconciled against a measured distance
Three record calls in chains between two existent monuments do not sum to the measured distance. Distribute the difference proportionately and report the restored positions in both feet and chains.
Recall· about 15 minutes by hand· 5 steps
Given
A retracement along a straight section line between two existent original corners, one mile apart by record.
Record calls from the original survey, running from the south corner: to a marked stone, 22.50 chains; thence to the center of a creek, 31.20 chains; thence to the north corner, 26.30 chains. The record total is 80.00 chains.
One chain is 66 ft, so the record total is 5,280.00 ft.
The measured distance between the two existent corners is 5,296.70 ft, in US survey feet, to 0.01 ft.
Neither the stone nor any evidence at the creek call was recovered, and the intervening points are to be restored by proportion. Distances are reported to 0.01 ft.
Required
The excess between the measured and the record distance, and its relative size.
The proportionate factor and the restored distance to each record point.
The restored distances expressed in chains.
Work it through yourself before reading on - the solution below shows every step, so there is no way to skim it without giving the answer away.
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