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Finding the Fourth Proportional to 447.31, 665.89 and 444.88

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Solution

The fourth proportional to 447.31, 665.89 and 444.88 is: 662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.31 : 665.89 = 444.88 : x
  2. Step 2: Convert to fraction form
    447.31/665.89 = 444.88/x
  3. Step 3: Cross multiply
    447.31x = 665.89 × 444.88
  4. Step 4: Simplify right side
    447.31x = 296,241.14
  5. Step 5: Solve for x
    x = 296,241.14/447.31
  6. Step 6: Final answer
    x = 662.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.