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Finding the Fourth Proportional to 497.16, 685.78 and 329.11

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Solution

The fourth proportional to 497.16, 685.78 and 329.11 is: 453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.16 : 685.78 = 329.11 : x
  2. Step 2: Convert to fraction form
    497.16/685.78 = 329.11/x
  3. Step 3: Cross multiply
    497.16x = 685.78 × 329.11
  4. Step 4: Simplify right side
    497.16x = 225,694.52
  5. Step 5: Solve for x
    x = 225,694.52/497.16
  6. Step 6: Final answer
    x = 453.97

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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.