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Finding the Fourth Proportional to 911.52, 1,367.12 and 424.61

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Solution

The fourth proportional to 911.52, 1,367.12 and 424.61 is: 636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.52 : 1,367.12 = 424.61 : x
  2. Step 2: Convert to fraction form
    911.52/1,367.12 = 424.61/x
  3. Step 3: Cross multiply
    911.52x = 1,367.12 × 424.61
  4. Step 4: Simplify right side
    911.52x = 580,492.82
  5. Step 5: Solve for x
    x = 580,492.82/911.52
  6. Step 6: Final answer
    x = 636.84

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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.