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Finding the Fourth Proportional to 694.92, 1,037.31 and 643.53

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Solution

The fourth proportional to 694.92, 1,037.31 and 643.53 is: 960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.92 : 1,037.31 = 643.53 : x
  2. Step 2: Convert to fraction form
    694.92/1,037.31 = 643.53/x
  3. Step 3: Cross multiply
    694.92x = 1,037.31 × 643.53
  4. Step 4: Simplify right side
    694.92x = 667,540.10
  5. Step 5: Solve for x
    x = 667,540.10/694.92
  6. Step 6: Final answer
    x = 960.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.