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Finding the Fourth Proportional to 629.52, 868.96 and 408.64

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Solution

The fourth proportional to 629.52, 868.96 and 408.64 is: 564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.52 : 868.96 = 408.64 : x
  2. Step 2: Convert to fraction form
    629.52/868.96 = 408.64/x
  3. Step 3: Cross multiply
    629.52x = 868.96 × 408.64
  4. Step 4: Simplify right side
    629.52x = 355,091.81
  5. Step 5: Solve for x
    x = 355,091.81/629.52
  6. Step 6: Final answer
    x = 564.07

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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.