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Finding the Fourth Proportional to 667.60, 1,002.04 and 343.20

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Solution

The fourth proportional to 667.60, 1,002.04 and 343.20 is: 515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.60 : 1,002.04 = 343.20 : x
  2. Step 2: Convert to fraction form
    667.60/1,002.04 = 343.20/x
  3. Step 3: Cross multiply
    667.60x = 1,002.04 × 343.20
  4. Step 4: Simplify right side
    667.60x = 343,900.13
  5. Step 5: Solve for x
    x = 343,900.13/667.60
  6. Step 6: Final answer
    x = 515.13

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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.