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Finding the Fourth Proportional to 576.63, 869.11 and 496.44

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Solution

The fourth proportional to 576.63, 869.11 and 496.44 is: 748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.63 : 869.11 = 496.44 : x
  2. Step 2: Convert to fraction form
    576.63/869.11 = 496.44/x
  3. Step 3: Cross multiply
    576.63x = 869.11 × 496.44
  4. Step 4: Simplify right side
    576.63x = 431,459.73
  5. Step 5: Solve for x
    x = 431,459.73/576.63
  6. Step 6: Final answer
    x = 748.24

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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.