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Finding the Fourth Proportional to 691.99, 1,037.93 and 281.15

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Solution

The fourth proportional to 691.99, 1,037.93 and 281.15 is: 421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.99 : 1,037.93 = 281.15 : x
  2. Step 2: Convert to fraction form
    691.99/1,037.93 = 281.15/x
  3. Step 3: Cross multiply
    691.99x = 1,037.93 × 281.15
  4. Step 4: Simplify right side
    691.99x = 291,818.74
  5. Step 5: Solve for x
    x = 291,818.74/691.99
  6. Step 6: Final answer
    x = 421.71

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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.