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Finding the Fourth Proportional to 667.78, 1,001.39 and 321.03

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Solution

The fourth proportional to 667.78, 1,001.39 and 321.03 is: 481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.78 : 1,001.39 = 321.03 : x
  2. Step 2: Convert to fraction form
    667.78/1,001.39 = 321.03/x
  3. Step 3: Cross multiply
    667.78x = 1,001.39 × 321.03
  4. Step 4: Simplify right side
    667.78x = 321,475.43
  5. Step 5: Solve for x
    x = 321,475.43/667.78
  6. Step 6: Final answer
    x = 481.41

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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.