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Finding the Fourth Proportional to 616.64, 925.92 and 385.88

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Solution

The fourth proportional to 616.64, 925.92 and 385.88 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 925.92 = 385.88 : x
  2. Step 2: Convert to fraction form
    616.64/925.92 = 385.88/x
  3. Step 3: Cross multiply
    616.64x = 925.92 × 385.88
  4. Step 4: Simplify right side
    616.64x = 357,294.01
  5. Step 5: Solve for x
    x = 357,294.01/616.64
  6. Step 6: Final answer
    x = 579.42

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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.