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Finding the Fourth Proportional to 576.17, 869.09 and 542.49

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Solution

The fourth proportional to 576.17, 869.09 and 542.49 is: 818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.17 : 869.09 = 542.49 : x
  2. Step 2: Convert to fraction form
    576.17/869.09 = 542.49/x
  3. Step 3: Cross multiply
    576.17x = 869.09 × 542.49
  4. Step 4: Simplify right side
    576.17x = 471,472.63
  5. Step 5: Solve for x
    x = 471,472.63/576.17
  6. Step 6: Final answer
    x = 818.29

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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.