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Finding the Fourth Proportional to 691.65, 1,037.51 and 229.42

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Solution

The fourth proportional to 691.65, 1,037.51 and 229.42 is: 344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.65 : 1,037.51 = 229.42 : x
  2. Step 2: Convert to fraction form
    691.65/1,037.51 = 229.42/x
  3. Step 3: Cross multiply
    691.65x = 1,037.51 × 229.42
  4. Step 4: Simplify right side
    691.65x = 238,019.21
  5. Step 5: Solve for x
    x = 238,019.21/691.65
  6. Step 6: Final answer
    x = 344.13

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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.