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Finding the Fourth Proportional to 572.54, 861.91 and 513

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Solution

The fourth proportional to 572.54, 861.91 and 513 is: 772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.54 : 861.91 = 513 : x
  2. Step 2: Convert to fraction form
    572.54/861.91 = 513/x
  3. Step 3: Cross multiply
    572.54x = 861.91 × 513
  4. Step 4: Simplify right side
    572.54x = 442,158.55
  5. Step 5: Solve for x
    x = 442,158.55/572.54
  6. Step 6: Final answer
    x = 772.28

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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.