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Finding the Fourth Proportional to 691.61, 1,035.90 and 431.73

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Solution

The fourth proportional to 691.61, 1,035.90 and 431.73 is: 646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.61 : 1,035.90 = 431.73 : x
  2. Step 2: Convert to fraction form
    691.61/1,035.90 = 431.73/x
  3. Step 3: Cross multiply
    691.61x = 1,035.90 × 431.73
  4. Step 4: Simplify right side
    691.61x = 447,229.11
  5. Step 5: Solve for x
    x = 447,229.11/691.61
  6. Step 6: Final answer
    x = 646.65

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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.