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Finding the Fourth Proportional to 444.27, 667.84 and 411.92

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Solution

The fourth proportional to 444.27, 667.84 and 411.92 is: 619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.27 : 667.84 = 411.92 : x
  2. Step 2: Convert to fraction form
    444.27/667.84 = 411.92/x
  3. Step 3: Cross multiply
    444.27x = 667.84 × 411.92
  4. Step 4: Simplify right side
    444.27x = 275,096.65
  5. Step 5: Solve for x
    x = 275,096.65/444.27
  6. Step 6: Final answer
    x = 619.21

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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.