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Finding the Fourth Proportional to 629.59, 868.66 and 408.35

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Solution

The fourth proportional to 629.59, 868.66 and 408.35 is: 563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.59 : 868.66 = 408.35 : x
  2. Step 2: Convert to fraction form
    629.59/868.66 = 408.35/x
  3. Step 3: Cross multiply
    629.59x = 868.66 × 408.35
  4. Step 4: Simplify right side
    629.59x = 354,717.31
  5. Step 5: Solve for x
    x = 354,717.31/629.59
  6. Step 6: Final answer
    x = 563.41

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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.