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Finding the Fourth Proportional to 669.31, 1,003.96 and 439.65

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Solution

The fourth proportional to 669.31, 1,003.96 and 439.65 is: 659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.31 : 1,003.96 = 439.65 : x
  2. Step 2: Convert to fraction form
    669.31/1,003.96 = 439.65/x
  3. Step 3: Cross multiply
    669.31x = 1,003.96 × 439.65
  4. Step 4: Simplify right side
    669.31x = 441,391.01
  5. Step 5: Solve for x
    x = 441,391.01/669.31
  6. Step 6: Final answer
    x = 659.47

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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.