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Finding the Fourth Proportional to 891.92, 1,231.08 and 542.54

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Solution

The fourth proportional to 891.92, 1,231.08 and 542.54 is: 748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.92 : 1,231.08 = 542.54 : x
  2. Step 2: Convert to fraction form
    891.92/1,231.08 = 542.54/x
  3. Step 3: Cross multiply
    891.92x = 1,231.08 × 542.54
  4. Step 4: Simplify right side
    891.92x = 667,910.14
  5. Step 5: Solve for x
    x = 667,910.14/891.92
  6. Step 6: Final answer
    x = 748.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.