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Finding the Fourth Proportional to 578.90, 868.26 and 344.78

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Solution

The fourth proportional to 578.90, 868.26 and 344.78 is: 517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.90 : 868.26 = 344.78 : x
  2. Step 2: Convert to fraction form
    578.90/868.26 = 344.78/x
  3. Step 3: Cross multiply
    578.90x = 868.26 × 344.78
  4. Step 4: Simplify right side
    578.90x = 299,358.68
  5. Step 5: Solve for x
    x = 299,358.68/578.90
  6. Step 6: Final answer
    x = 517.12

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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.