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Finding the Fourth Proportional to 546.82, 819.60 and 424.70

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Solution

The fourth proportional to 546.82, 819.60 and 424.70 is: 636.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.82 : 819.60 = 424.70 : x
  2. Step 2: Convert to fraction form
    546.82/819.60 = 424.70/x
  3. Step 3: Cross multiply
    546.82x = 819.60 × 424.70
  4. Step 4: Simplify right side
    546.82x = 348,084.12
  5. Step 5: Solve for x
    x = 348,084.12/546.82
  6. Step 6: Final answer
    x = 636.56

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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.