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Finding the Fourth Proportional to 458.43, 685.92 and 272.65

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Solution

The fourth proportional to 458.43, 685.92 and 272.65 is: 407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.43 : 685.92 = 272.65 : x
  2. Step 2: Convert to fraction form
    458.43/685.92 = 272.65/x
  3. Step 3: Cross multiply
    458.43x = 685.92 × 272.65
  4. Step 4: Simplify right side
    458.43x = 187,016.09
  5. Step 5: Solve for x
    x = 187,016.09/458.43
  6. Step 6: Final answer
    x = 407.95

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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.