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Finding the Fourth Proportional to 694.73, 963.11 and 657.74

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Solution

The fourth proportional to 694.73, 963.11 and 657.74 is: 911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.73 : 963.11 = 657.74 : x
  2. Step 2: Convert to fraction form
    694.73/963.11 = 657.74/x
  3. Step 3: Cross multiply
    694.73x = 963.11 × 657.74
  4. Step 4: Simplify right side
    694.73x = 633,467.87
  5. Step 5: Solve for x
    x = 633,467.87/694.73
  6. Step 6: Final answer
    x = 911.83

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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.