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Finding the Fourth Proportional to 691.42, 1,037.20 and 326.11

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Solution

The fourth proportional to 691.42, 1,037.20 and 326.11 is: 489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.42 : 1,037.20 = 326.11 : x
  2. Step 2: Convert to fraction form
    691.42/1,037.20 = 326.11/x
  3. Step 3: Cross multiply
    691.42x = 1,037.20 × 326.11
  4. Step 4: Simplify right side
    691.42x = 338,241.29
  5. Step 5: Solve for x
    x = 338,241.29/691.42
  6. Step 6: Final answer
    x = 489.20

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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.