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Finding the Fourth Proportional to 461.71, 691.76 and 411.49

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Solution

The fourth proportional to 461.71, 691.76 and 411.49 is: 616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.71 : 691.76 = 411.49 : x
  2. Step 2: Convert to fraction form
    461.71/691.76 = 411.49/x
  3. Step 3: Cross multiply
    461.71x = 691.76 × 411.49
  4. Step 4: Simplify right side
    461.71x = 284,650.26
  5. Step 5: Solve for x
    x = 284,650.26/461.71
  6. Step 6: Final answer
    x = 616.51

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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.