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Finding the Fourth Proportional to 579.87, 864.77 and 532.62

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Solution

The fourth proportional to 579.87, 864.77 and 532.62 is: 794.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.87 : 864.77 = 532.62 : x
  2. Step 2: Convert to fraction form
    579.87/864.77 = 532.62/x
  3. Step 3: Cross multiply
    579.87x = 864.77 × 532.62
  4. Step 4: Simplify right side
    579.87x = 460,591.13
  5. Step 5: Solve for x
    x = 460,591.13/579.87
  6. Step 6: Final answer
    x = 794.30

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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.