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Finding the Fourth Proportional to 462.57, 641.67 and 437.97

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Solution

The fourth proportional to 462.57, 641.67 and 437.97 is: 607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.57 : 641.67 = 437.97 : x
  2. Step 2: Convert to fraction form
    462.57/641.67 = 437.97/x
  3. Step 3: Cross multiply
    462.57x = 641.67 × 437.97
  4. Step 4: Simplify right side
    462.57x = 281,032.21
  5. Step 5: Solve for x
    x = 281,032.21/462.57
  6. Step 6: Final answer
    x = 607.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.