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Finding the Fourth Proportional to 422.14, 629.63 and 398.38

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Solution

The fourth proportional to 422.14, 629.63 and 398.38 is: 594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 629.63 = 398.38 : x
  2. Step 2: Convert to fraction form
    422.14/629.63 = 398.38/x
  3. Step 3: Cross multiply
    422.14x = 629.63 × 398.38
  4. Step 4: Simplify right side
    422.14x = 250,832.00
  5. Step 5: Solve for x
    x = 250,832.00/422.14
  6. Step 6: Final answer
    x = 594.19

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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.