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Finding the Fourth Proportional to 629.39, 867.97 and 416.61

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Solution

The fourth proportional to 629.39, 867.97 and 416.61 is: 574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.39 : 867.97 = 416.61 : x
  2. Step 2: Convert to fraction form
    629.39/867.97 = 416.61/x
  3. Step 3: Cross multiply
    629.39x = 867.97 × 416.61
  4. Step 4: Simplify right side
    629.39x = 361,604.98
  5. Step 5: Solve for x
    x = 361,604.98/629.39
  6. Step 6: Final answer
    x = 574.54

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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.