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Finding the Fourth Proportional to 981.68, 1,472.28 and 461.36

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Solution

The fourth proportional to 981.68, 1,472.28 and 461.36 is: 691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.68 : 1,472.28 = 461.36 : x
  2. Step 2: Convert to fraction form
    981.68/1,472.28 = 461.36/x
  3. Step 3: Cross multiply
    981.68x = 1,472.28 × 461.36
  4. Step 4: Simplify right side
    981.68x = 679,251.10
  5. Step 5: Solve for x
    x = 679,251.10/981.68
  6. Step 6: Final answer
    x = 691.93

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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.