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Finding the Fourth Proportional to 451.25, 622.49 and 285.41

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Solution

The fourth proportional to 451.25, 622.49 and 285.41 is: 393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.25 : 622.49 = 285.41 : x
  2. Step 2: Convert to fraction form
    451.25/622.49 = 285.41/x
  3. Step 3: Cross multiply
    451.25x = 622.49 × 285.41
  4. Step 4: Simplify right side
    451.25x = 177,660.33
  5. Step 5: Solve for x
    x = 177,660.33/451.25
  6. Step 6: Final answer
    x = 393.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.