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Finding the Fourth Proportional to 422.13, 629.73 and 392.67

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Solution

The fourth proportional to 422.13, 629.73 and 392.67 is: 585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.13 : 629.73 = 392.67 : x
  2. Step 2: Convert to fraction form
    422.13/629.73 = 392.67/x
  3. Step 3: Cross multiply
    422.13x = 629.73 × 392.67
  4. Step 4: Simplify right side
    422.13x = 247,276.08
  5. Step 5: Solve for x
    x = 247,276.08/422.13
  6. Step 6: Final answer
    x = 585.78

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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.