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Finding the Fourth Proportional to 629.52, 868.98 and 408.48

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Solution

The fourth proportional to 629.52, 868.98 and 408.48 is: 563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 868.98 = 408.48 : x
  2. Step 2: Convert to fraction form
    629.52/868.98 = 408.48/x
  3. Step 3: Cross multiply
    629.52x = 868.98 × 408.48
  4. Step 4: Simplify right side
    629.52x = 354,960.59
  5. Step 5: Solve for x
    x = 354,960.59/629.52
  6. Step 6: Final answer
    x = 563.86

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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.