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Finding the Fourth Proportional to 657.38, 984.26 and 461.78

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Solution

The fourth proportional to 657.38, 984.26 and 461.78 is: 691.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 984.26 = 461.78 : x
  2. Step 2: Convert to fraction form
    657.38/984.26 = 461.78/x
  3. Step 3: Cross multiply
    657.38x = 984.26 × 461.78
  4. Step 4: Simplify right side
    657.38x = 454,511.58
  5. Step 5: Solve for x
    x = 454,511.58/657.38
  6. Step 6: Final answer
    x = 691.40

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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.