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Finding the Fourth Proportional to 637.59, 956.68 and 378.11

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Solution

The fourth proportional to 637.59, 956.68 and 378.11 is: 567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.59 : 956.68 = 378.11 : x
  2. Step 2: Convert to fraction form
    637.59/956.68 = 378.11/x
  3. Step 3: Cross multiply
    637.59x = 956.68 × 378.11
  4. Step 4: Simplify right side
    637.59x = 361,724.55
  5. Step 5: Solve for x
    x = 361,724.55/637.59
  6. Step 6: Final answer
    x = 567.33

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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.