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Finding the Fourth Proportional to 691.43, 1,037.34 and 280.91

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Solution

The fourth proportional to 691.43, 1,037.34 and 280.91 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.43 : 1,037.34 = 280.91 : x
  2. Step 2: Convert to fraction form
    691.43/1,037.34 = 280.91/x
  3. Step 3: Cross multiply
    691.43x = 1,037.34 × 280.91
  4. Step 4: Simplify right side
    691.43x = 291,393.99
  5. Step 5: Solve for x
    x = 291,393.99/691.43
  6. Step 6: Final answer
    x = 421.44

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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.