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Finding the Fourth Proportional to 731.20, 1,088.52 and 726.88

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Solution

The fourth proportional to 731.20, 1,088.52 and 726.88 is: 1,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.20 : 1,088.52 = 726.88 : x
  2. Step 2: Convert to fraction form
    731.20/1,088.52 = 726.88/x
  3. Step 3: Cross multiply
    731.20x = 1,088.52 × 726.88
  4. Step 4: Simplify right side
    731.20x = 791,223.42
  5. Step 5: Solve for x
    x = 791,223.42/731.20
  6. Step 6: Final answer
    x = 1,082.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.