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Finding the Fourth Proportional to 572.10, 861.19 and 410.91

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Solution

The fourth proportional to 572.10, 861.19 and 410.91 is: 618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.10 : 861.19 = 410.91 : x
  2. Step 2: Convert to fraction form
    572.10/861.19 = 410.91/x
  3. Step 3: Cross multiply
    572.10x = 861.19 × 410.91
  4. Step 4: Simplify right side
    572.10x = 353,871.58
  5. Step 5: Solve for x
    x = 353,871.58/572.10
  6. Step 6: Final answer
    x = 618.55

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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.