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Finding the Fourth Proportional to 438.97, 657.87 and 284.82

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Solution

The fourth proportional to 438.97, 657.87 and 284.82 is: 426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.97 : 657.87 = 284.82 : x
  2. Step 2: Convert to fraction form
    438.97/657.87 = 284.82/x
  3. Step 3: Cross multiply
    438.97x = 657.87 × 284.82
  4. Step 4: Simplify right side
    438.97x = 187,374.53
  5. Step 5: Solve for x
    x = 187,374.53/438.97
  6. Step 6: Final answer
    x = 426.85

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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.