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Finding the Fourth Proportional to 422.45, 629.83 and 411.81

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Solution

The fourth proportional to 422.45, 629.83 and 411.81 is: 613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.45 : 629.83 = 411.81 : x
  2. Step 2: Convert to fraction form
    422.45/629.83 = 411.81/x
  3. Step 3: Cross multiply
    422.45x = 629.83 × 411.81
  4. Step 4: Simplify right side
    422.45x = 259,370.29
  5. Step 5: Solve for x
    x = 259,370.29/422.45
  6. Step 6: Final answer
    x = 613.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.