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Finding the Fourth Proportional to 457.83, 632.07 and 326.97

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Solution

The fourth proportional to 457.83, 632.07 and 326.97 is: 451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.83 : 632.07 = 326.97 : x
  2. Step 2: Convert to fraction form
    457.83/632.07 = 326.97/x
  3. Step 3: Cross multiply
    457.83x = 632.07 × 326.97
  4. Step 4: Simplify right side
    457.83x = 206,667.93
  5. Step 5: Solve for x
    x = 206,667.93/457.83
  6. Step 6: Final answer
    x = 451.41

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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.