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Finding the Fourth Proportional to 579.20, 863.71 and 534.32

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Solution

The fourth proportional to 579.20, 863.71 and 534.32 is: 796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.20 : 863.71 = 534.32 : x
  2. Step 2: Convert to fraction form
    579.20/863.71 = 534.32/x
  3. Step 3: Cross multiply
    579.20x = 863.71 × 534.32
  4. Step 4: Simplify right side
    579.20x = 461,497.53
  5. Step 5: Solve for x
    x = 461,497.53/579.20
  6. Step 6: Final answer
    x = 796.78

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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.