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Finding the Fourth Proportional to 904.92, 1,248.78 and 531.72

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Solution

The fourth proportional to 904.92, 1,248.78 and 531.72 is: 733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.92 : 1,248.78 = 531.72 : x
  2. Step 2: Convert to fraction form
    904.92/1,248.78 = 531.72/x
  3. Step 3: Cross multiply
    904.92x = 1,248.78 × 531.72
  4. Step 4: Simplify right side
    904.92x = 664,001.30
  5. Step 5: Solve for x
    x = 664,001.30/904.92
  6. Step 6: Final answer
    x = 733.77

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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.