Finding the Fourth Proportional to 1,187.57, 1,781.01 and 456.75
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Solution
The fourth proportional to 1,187.57, 1,781.01 and 456.75 is: 684.99
Step by Step Solution
- Step 1: Write the proportion equation
1,187.57 : 1,781.01 = 456.75 : x - Step 2: Convert to fraction form
1,187.57/1,781.01 = 456.75/x - Step 3: Cross multiply
1,187.57x = 1,781.01 × 456.75 - Step 4: Simplify right side
1,187.57x = 813,476.32 - Step 5: Solve for x
x = 813,476.32/1,187.57 - Step 6: Final answer
x = 684.99
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.