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Finding the Fourth Proportional to 579.39, 864.62 and 517.88

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Solution

The fourth proportional to 579.39, 864.62 and 517.88 is: 772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.39 : 864.62 = 517.88 : x
  2. Step 2: Convert to fraction form
    579.39/864.62 = 517.88/x
  3. Step 3: Cross multiply
    579.39x = 864.62 × 517.88
  4. Step 4: Simplify right side
    579.39x = 447,765.08
  5. Step 5: Solve for x
    x = 447,765.08/579.39
  6. Step 6: Final answer
    x = 772.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.