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Finding the Fourth Proportional to 447.30, 667.01 and 411.84

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Solution

The fourth proportional to 447.30, 667.01 and 411.84 is: 614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.30 : 667.01 = 411.84 : x
  2. Step 2: Convert to fraction form
    447.30/667.01 = 411.84/x
  3. Step 3: Cross multiply
    447.30x = 667.01 × 411.84
  4. Step 4: Simplify right side
    447.30x = 274,702.43
  5. Step 5: Solve for x
    x = 274,702.43/447.30
  6. Step 6: Final answer
    x = 614.13

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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.