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Finding the Fourth Proportional to 616.57, 925.07 and 385.19

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Solution

The fourth proportional to 616.57, 925.07 and 385.19 is: 577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.57 : 925.07 = 385.19 : x
  2. Step 2: Convert to fraction form
    616.57/925.07 = 385.19/x
  3. Step 3: Cross multiply
    616.57x = 925.07 × 385.19
  4. Step 4: Simplify right side
    616.57x = 356,327.09
  5. Step 5: Solve for x
    x = 356,327.09/616.57
  6. Step 6: Final answer
    x = 577.92

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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.