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Finding the Fourth Proportional to 1,062.49, 1,593.74 and 728.61

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Solution

The fourth proportional to 1,062.49, 1,593.74 and 728.61 is: 1,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.49 : 1,593.74 = 728.61 : x
  2. Step 2: Convert to fraction form
    1,062.49/1,593.74 = 728.61/x
  3. Step 3: Cross multiply
    1,062.49x = 1,593.74 × 728.61
  4. Step 4: Simplify right side
    1,062.49x = 1,161,211.26
  5. Step 5: Solve for x
    x = 1,161,211.26/1,062.49
  6. Step 6: Final answer
    x = 1,092.92

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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.