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Finding the Fourth Proportional to 578.88, 868.50 and 487.80

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Solution

The fourth proportional to 578.88, 868.50 and 487.80 is: 731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.88 : 868.50 = 487.80 : x
  2. Step 2: Convert to fraction form
    578.88/868.50 = 487.80/x
  3. Step 3: Cross multiply
    578.88x = 868.50 × 487.80
  4. Step 4: Simplify right side
    578.88x = 423,654.30
  5. Step 5: Solve for x
    x = 423,654.30/578.88
  6. Step 6: Final answer
    x = 731.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.