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Finding the Fourth Proportional to 911.32, 1,367.10 and 424.48

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Solution

The fourth proportional to 911.32, 1,367.10 and 424.48 is: 636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.32 : 1,367.10 = 424.48 : x
  2. Step 2: Convert to fraction form
    911.32/1,367.10 = 424.48/x
  3. Step 3: Cross multiply
    911.32x = 1,367.10 × 424.48
  4. Step 4: Simplify right side
    911.32x = 580,306.61
  5. Step 5: Solve for x
    x = 580,306.61/911.32
  6. Step 6: Final answer
    x = 636.78

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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.