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Finding the Fourth Proportional to 638.80, 959.52 and 395.44

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Solution

The fourth proportional to 638.80, 959.52 and 395.44 is: 593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.80 : 959.52 = 395.44 : x
  2. Step 2: Convert to fraction form
    638.80/959.52 = 395.44/x
  3. Step 3: Cross multiply
    638.80x = 959.52 × 395.44
  4. Step 4: Simplify right side
    638.80x = 379,432.59
  5. Step 5: Solve for x
    x = 379,432.59/638.80
  6. Step 6: Final answer
    x = 593.98

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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.