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Finding the Fourth Proportional to 694.59, 964.97 and 688.25

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Solution

The fourth proportional to 694.59, 964.97 and 688.25 is: 956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.59 : 964.97 = 688.25 : x
  2. Step 2: Convert to fraction form
    694.59/964.97 = 688.25/x
  3. Step 3: Cross multiply
    694.59x = 964.97 × 688.25
  4. Step 4: Simplify right side
    694.59x = 664,132.34
  5. Step 5: Solve for x
    x = 664,132.34/694.59
  6. Step 6: Final answer
    x = 956.15

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1.5x scale

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.