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Finding the Fourth Proportional to 629.58, 868.38 and 408.78

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Solution

The fourth proportional to 629.58, 868.38 and 408.78 is: 563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.58 : 868.38 = 408.78 : x
  2. Step 2: Convert to fraction form
    629.58/868.38 = 408.78/x
  3. Step 3: Cross multiply
    629.58x = 868.38 × 408.78
  4. Step 4: Simplify right side
    629.58x = 354,976.38
  5. Step 5: Solve for x
    x = 354,976.38/629.58
  6. Step 6: Final answer
    x = 563.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.