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Finding the Fourth Proportional to 447.30, 671.27 and 409.05

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Solution

The fourth proportional to 447.30, 671.27 and 409.05 is: 613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.30 : 671.27 = 409.05 : x
  2. Step 2: Convert to fraction form
    447.30/671.27 = 409.05/x
  3. Step 3: Cross multiply
    447.30x = 671.27 × 409.05
  4. Step 4: Simplify right side
    447.30x = 274,580.95
  5. Step 5: Solve for x
    x = 274,580.95/447.30
  6. Step 6: Final answer
    x = 613.86

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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.