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Finding the Fourth Proportional to 616.38, 923.96 and 396.87

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Solution

The fourth proportional to 616.38, 923.96 and 396.87 is: 594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.38 : 923.96 = 396.87 : x
  2. Step 2: Convert to fraction form
    616.38/923.96 = 396.87/x
  3. Step 3: Cross multiply
    616.38x = 923.96 × 396.87
  4. Step 4: Simplify right side
    616.38x = 366,692.01
  5. Step 5: Solve for x
    x = 366,692.01/616.38
  6. Step 6: Final answer
    x = 594.91

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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.