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Finding the Fourth Proportional to 981.73, 1,472.50 and 461.61

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Solution

The fourth proportional to 981.73, 1,472.50 and 461.61 is: 692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.73 : 1,472.50 = 461.61 : x
  2. Step 2: Convert to fraction form
    981.73/1,472.50 = 461.61/x
  3. Step 3: Cross multiply
    981.73x = 1,472.50 × 461.61
  4. Step 4: Simplify right side
    981.73x = 679,719.57
  5. Step 5: Solve for x
    x = 679,719.57/981.73
  6. Step 6: Final answer
    x = 692.37

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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.