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Finding the Fourth Proportional to 691.23, 1,037.16 and 344.55

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Solution

The fourth proportional to 691.23, 1,037.16 and 344.55 is: 516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.23 : 1,037.16 = 344.55 : x
  2. Step 2: Convert to fraction form
    691.23/1,037.16 = 344.55/x
  3. Step 3: Cross multiply
    691.23x = 1,037.16 × 344.55
  4. Step 4: Simplify right side
    691.23x = 357,353.48
  5. Step 5: Solve for x
    x = 357,353.48/691.23
  6. Step 6: Final answer
    x = 516.98

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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.