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Finding the Fourth Proportional to 447.33, 672.62 and 411.69

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Solution

The fourth proportional to 447.33, 672.62 and 411.69 is: 619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.33 : 672.62 = 411.69 : x
  2. Step 2: Convert to fraction form
    447.33/672.62 = 411.69/x
  3. Step 3: Cross multiply
    447.33x = 672.62 × 411.69
  4. Step 4: Simplify right side
    447.33x = 276,910.93
  5. Step 5: Solve for x
    x = 276,910.93/447.33
  6. Step 6: Final answer
    x = 619.03

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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.