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Finding the Fourth Proportional to 578.83, 868.45 and 254.43

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Solution

The fourth proportional to 578.83, 868.45 and 254.43 is: 381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.83 : 868.45 = 254.43 : x
  2. Step 2: Convert to fraction form
    578.83/868.45 = 254.43/x
  3. Step 3: Cross multiply
    578.83x = 868.45 × 254.43
  4. Step 4: Simplify right side
    578.83x = 220,959.73
  5. Step 5: Solve for x
    x = 220,959.73/578.83
  6. Step 6: Final answer
    x = 381.74

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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.