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Finding the Fourth Proportional to 425.97, 638.96 and 280.64

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Solution

The fourth proportional to 425.97, 638.96 and 280.64 is: 420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.97 : 638.96 = 280.64 : x
  2. Step 2: Convert to fraction form
    425.97/638.96 = 280.64/x
  3. Step 3: Cross multiply
    425.97x = 638.96 × 280.64
  4. Step 4: Simplify right side
    425.97x = 179,316.13
  5. Step 5: Solve for x
    x = 179,316.13/425.97
  6. Step 6: Final answer
    x = 420.96

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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.