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Finding the Fourth Proportional to 572.01, 861.36 and 410.82

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Solution

The fourth proportional to 572.01, 861.36 and 410.82 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.01 : 861.36 = 410.82 : x
  2. Step 2: Convert to fraction form
    572.01/861.36 = 410.82/x
  3. Step 3: Cross multiply
    572.01x = 861.36 × 410.82
  4. Step 4: Simplify right side
    572.01x = 353,863.92
  5. Step 5: Solve for x
    x = 353,863.92/572.01
  6. Step 6: Final answer
    x = 618.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.