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Finding the Fourth Proportional to 667.91, 1,003.68 and 343.51

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Solution

The fourth proportional to 667.91, 1,003.68 and 343.51 is: 516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.91 : 1,003.68 = 343.51 : x
  2. Step 2: Convert to fraction form
    667.91/1,003.68 = 343.51/x
  3. Step 3: Cross multiply
    667.91x = 1,003.68 × 343.51
  4. Step 4: Simplify right side
    667.91x = 344,774.12
  5. Step 5: Solve for x
    x = 344,774.12/667.91
  6. Step 6: Final answer
    x = 516.20

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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.