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Finding the Fourth Proportional to 628.88, 942.69 and 422.97

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Solution

The fourth proportional to 628.88, 942.69 and 422.97 is: 634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.88 : 942.69 = 422.97 : x
  2. Step 2: Convert to fraction form
    628.88/942.69 = 422.97/x
  3. Step 3: Cross multiply
    628.88x = 942.69 × 422.97
  4. Step 4: Simplify right side
    628.88x = 398,729.59
  5. Step 5: Solve for x
    x = 398,729.59/628.88
  6. Step 6: Final answer
    x = 634.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.