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Finding the Fourth Proportional to 634.69, 951.89 and 400.31

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Solution

The fourth proportional to 634.69, 951.89 and 400.31 is: 600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.69 : 951.89 = 400.31 : x
  2. Step 2: Convert to fraction form
    634.69/951.89 = 400.31/x
  3. Step 3: Cross multiply
    634.69x = 951.89 × 400.31
  4. Step 4: Simplify right side
    634.69x = 381,049.08
  5. Step 5: Solve for x
    x = 381,049.08/634.69
  6. Step 6: Final answer
    x = 600.38

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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.