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Finding the Fourth Proportional to 422.32, 629.49 and 391.16

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Solution

The fourth proportional to 422.32, 629.49 and 391.16 is: 583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 629.49 = 391.16 : x
  2. Step 2: Convert to fraction form
    422.32/629.49 = 391.16/x
  3. Step 3: Cross multiply
    422.32x = 629.49 × 391.16
  4. Step 4: Simplify right side
    422.32x = 246,231.31
  5. Step 5: Solve for x
    x = 246,231.31/422.32
  6. Step 6: Final answer
    x = 583.04

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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.