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Finding the Fourth Proportional to 617.38, 925.46 and 397.87

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Solution

The fourth proportional to 617.38, 925.46 and 397.87 is: 596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.38 : 925.46 = 397.87 : x
  2. Step 2: Convert to fraction form
    617.38/925.46 = 397.87/x
  3. Step 3: Cross multiply
    617.38x = 925.46 × 397.87
  4. Step 4: Simplify right side
    617.38x = 368,212.77
  5. Step 5: Solve for x
    x = 368,212.77/617.38
  6. Step 6: Final answer
    x = 596.41

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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.