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Finding the Fourth Proportional to 1,399.31, 2,099.27 and 667.88

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Solution

The fourth proportional to 1,399.31, 2,099.27 and 667.88 is: 1,001.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.31 : 2,099.27 = 667.88 : x
  2. Step 2: Convert to fraction form
    1,399.31/2,099.27 = 667.88/x
  3. Step 3: Cross multiply
    1,399.31x = 2,099.27 × 667.88
  4. Step 4: Simplify right side
    1,399.31x = 1,402,060.45
  5. Step 5: Solve for x
    x = 1,402,060.45/1,399.31
  6. Step 6: Final answer
    x = 1,001.97

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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.