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Finding the Fourth Proportional to 447.40, 671.38 and 443.96

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Solution

The fourth proportional to 447.40, 671.38 and 443.96 is: 666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.40 : 671.38 = 443.96 : x
  2. Step 2: Convert to fraction form
    447.40/671.38 = 443.96/x
  3. Step 3: Cross multiply
    447.40x = 671.38 × 443.96
  4. Step 4: Simplify right side
    447.40x = 298,065.86
  5. Step 5: Solve for x
    x = 298,065.86/447.40
  6. Step 6: Final answer
    x = 666.22

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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.