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Finding the Fourth Proportional to 667.88, 1,002 and 394.22

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Solution

The fourth proportional to 667.88, 1,002 and 394.22 is: 591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.88 : 1,002 = 394.22 : x
  2. Step 2: Convert to fraction form
    667.88/1,002 = 394.22/x
  3. Step 3: Cross multiply
    667.88x = 1,002 × 394.22
  4. Step 4: Simplify right side
    667.88x = 395,008.44
  5. Step 5: Solve for x
    x = 395,008.44/667.88
  6. Step 6: Final answer
    x = 591.44

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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.