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Finding the Fourth Proportional to 449.80, 667.12 and 443.32

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Solution

The fourth proportional to 449.80, 667.12 and 443.32 is: 657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.80 : 667.12 = 443.32 : x
  2. Step 2: Convert to fraction form
    449.80/667.12 = 443.32/x
  3. Step 3: Cross multiply
    449.80x = 667.12 × 443.32
  4. Step 4: Simplify right side
    449.80x = 295,747.64
  5. Step 5: Solve for x
    x = 295,747.64/449.80
  6. Step 6: Final answer
    x = 657.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.