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Finding the Fourth Proportional to 667.32, 999.54 and 449.88

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Solution

The fourth proportional to 667.32, 999.54 and 449.88 is: 673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.32 : 999.54 = 449.88 : x
  2. Step 2: Convert to fraction form
    667.32/999.54 = 449.88/x
  3. Step 3: Cross multiply
    667.32x = 999.54 × 449.88
  4. Step 4: Simplify right side
    667.32x = 449,673.06
  5. Step 5: Solve for x
    x = 449,673.06/667.32
  6. Step 6: Final answer
    x = 673.85

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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.