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Finding the Fourth Proportional to 637.78, 956.87 and 442.97

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Solution

The fourth proportional to 637.78, 956.87 and 442.97 is: 664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.78 : 956.87 = 442.97 : x
  2. Step 2: Convert to fraction form
    637.78/956.87 = 442.97/x
  3. Step 3: Cross multiply
    637.78x = 956.87 × 442.97
  4. Step 4: Simplify right side
    637.78x = 423,864.70
  5. Step 5: Solve for x
    x = 423,864.70/637.78
  6. Step 6: Final answer
    x = 664.59

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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.