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Finding the Fourth Proportional to 691.59, 953.91 and 411.61

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Solution

The fourth proportional to 691.59, 953.91 and 411.61 is: 567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.59 : 953.91 = 411.61 : x
  2. Step 2: Convert to fraction form
    691.59/953.91 = 411.61/x
  3. Step 3: Cross multiply
    691.59x = 953.91 × 411.61
  4. Step 4: Simplify right side
    691.59x = 392,640.09
  5. Step 5: Solve for x
    x = 392,640.09/691.59
  6. Step 6: Final answer
    x = 567.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.