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Finding the Fourth Proportional to 925.38, 1,387.50 and 308.93

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Solution

The fourth proportional to 925.38, 1,387.50 and 308.93 is: 463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.38 : 1,387.50 = 308.93 : x
  2. Step 2: Convert to fraction form
    925.38/1,387.50 = 308.93/x
  3. Step 3: Cross multiply
    925.38x = 1,387.50 × 308.93
  4. Step 4: Simplify right side
    925.38x = 428,633.44
  5. Step 5: Solve for x
    x = 428,633.44/925.38
  6. Step 6: Final answer
    x = 463.20

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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.