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Finding the Fourth Proportional to 667.94, 1,002.20 and 343.53

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Solution

The fourth proportional to 667.94, 1,002.20 and 343.53 is: 515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.94 : 1,002.20 = 343.53 : x
  2. Step 2: Convert to fraction form
    667.94/1,002.20 = 343.53/x
  3. Step 3: Cross multiply
    667.94x = 1,002.20 × 343.53
  4. Step 4: Simplify right side
    667.94x = 344,284.05
  5. Step 5: Solve for x
    x = 344,284.05/667.94
  6. Step 6: Final answer
    x = 515.45

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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.