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Finding the Fourth Proportional to 691.47, 1,037.21 and 197.88

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Solution

The fourth proportional to 691.47, 1,037.21 and 197.88 is: 296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.47 : 1,037.21 = 197.88 : x
  2. Step 2: Convert to fraction form
    691.47/1,037.21 = 197.88/x
  3. Step 3: Cross multiply
    691.47x = 1,037.21 × 197.88
  4. Step 4: Simplify right side
    691.47x = 205,242.13
  5. Step 5: Solve for x
    x = 205,242.13/691.47
  6. Step 6: Final answer
    x = 296.82

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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.