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Finding the Fourth Proportional to 444.33, 668.12 and 408.69

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Solution

The fourth proportional to 444.33, 668.12 and 408.69 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.33 : 668.12 = 408.69 : x
  2. Step 2: Convert to fraction form
    444.33/668.12 = 408.69/x
  3. Step 3: Cross multiply
    444.33x = 668.12 × 408.69
  4. Step 4: Simplify right side
    444.33x = 273,051.92
  5. Step 5: Solve for x
    x = 273,051.92/444.33
  6. Step 6: Final answer
    x = 614.53

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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.