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Finding the Fourth Proportional to 925.53, 1,387.86 and 492.57

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Solution

The fourth proportional to 925.53, 1,387.86 and 492.57 is: 738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.53 : 1,387.86 = 492.57 : x
  2. Step 2: Convert to fraction form
    925.53/1,387.86 = 492.57/x
  3. Step 3: Cross multiply
    925.53x = 1,387.86 × 492.57
  4. Step 4: Simplify right side
    925.53x = 683,618.20
  5. Step 5: Solve for x
    x = 683,618.20/925.53
  6. Step 6: Final answer
    x = 738.62

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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.