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Finding the Fourth Proportional to 605.20, 908.88 and 400

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Solution

The fourth proportional to 605.20, 908.88 and 400 is: 600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.20 : 908.88 = 400 : x
  2. Step 2: Convert to fraction form
    605.20/908.88 = 400/x
  3. Step 3: Cross multiply
    605.20x = 908.88 × 400
  4. Step 4: Simplify right side
    605.20x = 363,552
  5. Step 5: Solve for x
    x = 363,552/605.20
  6. Step 6: Final answer
    x = 600.71

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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.