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Finding the Fourth Proportional to 494.97, 683.25 and 329.40

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Solution

The fourth proportional to 494.97, 683.25 and 329.40 is: 454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.97 : 683.25 = 329.40 : x
  2. Step 2: Convert to fraction form
    494.97/683.25 = 329.40/x
  3. Step 3: Cross multiply
    494.97x = 683.25 × 329.40
  4. Step 4: Simplify right side
    494.97x = 225,062.55
  5. Step 5: Solve for x
    x = 225,062.55/494.97
  6. Step 6: Final answer
    x = 454.70

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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.