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Finding the Fourth Proportional to 447.31, 671.59 and 411.09

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Solution

The fourth proportional to 447.31, 671.59 and 411.09 is: 617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.31 : 671.59 = 411.09 : x
  2. Step 2: Convert to fraction form
    447.31/671.59 = 411.09/x
  3. Step 3: Cross multiply
    447.31x = 671.59 × 411.09
  4. Step 4: Simplify right side
    447.31x = 276,082.87
  5. Step 5: Solve for x
    x = 276,082.87/447.31
  6. Step 6: Final answer
    x = 617.21

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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.