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Finding the Fourth Proportional to 576.95, 861.65 and 461.57

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Solution

The fourth proportional to 576.95, 861.65 and 461.57 is: 689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.95 : 861.65 = 461.57 : x
  2. Step 2: Convert to fraction form
    576.95/861.65 = 461.57/x
  3. Step 3: Cross multiply
    576.95x = 861.65 × 461.57
  4. Step 4: Simplify right side
    576.95x = 397,706.91
  5. Step 5: Solve for x
    x = 397,706.91/576.95
  6. Step 6: Final answer
    x = 689.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.