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Finding the Fourth Proportional to 669.88, 1,003.40 and 449.76

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Solution

The fourth proportional to 669.88, 1,003.40 and 449.76 is: 673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.88 : 1,003.40 = 449.76 : x
  2. Step 2: Convert to fraction form
    669.88/1,003.40 = 449.76/x
  3. Step 3: Cross multiply
    669.88x = 1,003.40 × 449.76
  4. Step 4: Simplify right side
    669.88x = 451,289.18
  5. Step 5: Solve for x
    x = 451,289.18/669.88
  6. Step 6: Final answer
    x = 673.69

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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.