Finding the Fourth Proportional to 1,727.67, 2,591.49 and 429.13
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Solution
The fourth proportional to 1,727.67, 2,591.49 and 429.13 is: 643.69
Step by Step Solution
- Step 1: Write the proportion equation
1,727.67 : 2,591.49 = 429.13 : x - Step 2: Convert to fraction form
1,727.67/2,591.49 = 429.13/x - Step 3: Cross multiply
1,727.67x = 2,591.49 × 429.13 - Step 4: Simplify right side
1,727.67x = 1,112,086.10 - Step 5: Solve for x
x = 1,112,086.10/1,727.67 - Step 6: Final answer
x = 643.69
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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.