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Finding the Fourth Proportional to 638.87, 880.37 and 461.52

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Solution

The fourth proportional to 638.87, 880.37 and 461.52 is: 635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.87 : 880.37 = 461.52 : x
  2. Step 2: Convert to fraction form
    638.87/880.37 = 461.52/x
  3. Step 3: Cross multiply
    638.87x = 880.37 × 461.52
  4. Step 4: Simplify right side
    638.87x = 406,306.05
  5. Step 5: Solve for x
    x = 406,306.05/638.87
  6. Step 6: Final answer
    x = 635.98

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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.