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Finding the Fourth Proportional to 667.68, 1,002.12 and 394.02

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Solution

The fourth proportional to 667.68, 1,002.12 and 394.02 is: 591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.68 : 1,002.12 = 394.02 : x
  2. Step 2: Convert to fraction form
    667.68/1,002.12 = 394.02/x
  3. Step 3: Cross multiply
    667.68x = 1,002.12 × 394.02
  4. Step 4: Simplify right side
    667.68x = 394,855.32
  5. Step 5: Solve for x
    x = 394,855.32/667.68
  6. Step 6: Final answer
    x = 591.38

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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.