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Finding the Fourth Proportional to 629.91, 868.92 and 408.83

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Solution

The fourth proportional to 629.91, 868.92 and 408.83 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.91 : 868.92 = 408.83 : x
  2. Step 2: Convert to fraction form
    629.91/868.92 = 408.83/x
  3. Step 3: Cross multiply
    629.91x = 868.92 × 408.83
  4. Step 4: Simplify right side
    629.91x = 355,236.22
  5. Step 5: Solve for x
    x = 355,236.22/629.91
  6. Step 6: Final answer
    x = 563.95

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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.