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Finding the Fourth Proportional to 616.91, 925.37 and 154.68

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Solution

The fourth proportional to 616.91, 925.37 and 154.68 is: 232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.91 : 925.37 = 154.68 : x
  2. Step 2: Convert to fraction form
    616.91/925.37 = 154.68/x
  3. Step 3: Cross multiply
    616.91x = 925.37 × 154.68
  4. Step 4: Simplify right side
    616.91x = 143,135.46
  5. Step 5: Solve for x
    x = 143,135.46/616.91
  6. Step 6: Final answer
    x = 232.02

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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.