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Finding the Fourth Proportional to 637.78, 956.86 and 442.98

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Solution

The fourth proportional to 637.78, 956.86 and 442.98 is: 664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.78 : 956.86 = 442.98 : x
  2. Step 2: Convert to fraction form
    637.78/956.86 = 442.98/x
  3. Step 3: Cross multiply
    637.78x = 956.86 × 442.98
  4. Step 4: Simplify right side
    637.78x = 423,869.84
  5. Step 5: Solve for x
    x = 423,869.84/637.78
  6. Step 6: Final answer
    x = 664.60

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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.