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Finding the Fourth Proportional to 932.31, 1,287.60 and 724.98

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Solution

The fourth proportional to 932.31, 1,287.60 and 724.98 is: 1,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.31 : 1,287.60 = 724.98 : x
  2. Step 2: Convert to fraction form
    932.31/1,287.60 = 724.98/x
  3. Step 3: Cross multiply
    932.31x = 1,287.60 × 724.98
  4. Step 4: Simplify right side
    932.31x = 933,484.25
  5. Step 5: Solve for x
    x = 933,484.25/932.31
  6. Step 6: Final answer
    x = 1,001.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.