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Finding the Fourth Proportional to 691.50, 1,043.55 and 687.24

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Solution

The fourth proportional to 691.50, 1,043.55 and 687.24 is: 1,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.50 : 1,043.55 = 687.24 : x
  2. Step 2: Convert to fraction form
    691.50/1,043.55 = 687.24/x
  3. Step 3: Cross multiply
    691.50x = 1,043.55 × 687.24
  4. Step 4: Simplify right side
    691.50x = 717,169.30
  5. Step 5: Solve for x
    x = 717,169.30/691.50
  6. Step 6: Final answer
    x = 1,037.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.