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Finding the Fourth Proportional to 691.81, 1,037.72 and 321.42

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Solution

The fourth proportional to 691.81, 1,037.72 and 321.42 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.81 : 1,037.72 = 321.42 : x
  2. Step 2: Convert to fraction form
    691.81/1,037.72 = 321.42/x
  3. Step 3: Cross multiply
    691.81x = 1,037.72 × 321.42
  4. Step 4: Simplify right side
    691.81x = 333,537.97
  5. Step 5: Solve for x
    x = 333,537.97/691.81
  6. Step 6: Final answer
    x = 482.12

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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.