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Finding the Fourth Proportional to 445.27, 669.34 and 412.92

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Solution

The fourth proportional to 445.27, 669.34 and 412.92 is: 620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.27 : 669.34 = 412.92 : x
  2. Step 2: Convert to fraction form
    445.27/669.34 = 412.92/x
  3. Step 3: Cross multiply
    445.27x = 669.34 × 412.92
  4. Step 4: Simplify right side
    445.27x = 276,383.87
  5. Step 5: Solve for x
    x = 276,383.87/445.27
  6. Step 6: Final answer
    x = 620.71

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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.