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Finding the Fourth Proportional to 415.69, 574.37 and 329.02

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Solution

The fourth proportional to 415.69, 574.37 and 329.02 is: 454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.69 : 574.37 = 329.02 : x
  2. Step 2: Convert to fraction form
    415.69/574.37 = 329.02/x
  3. Step 3: Cross multiply
    415.69x = 574.37 × 329.02
  4. Step 4: Simplify right side
    415.69x = 188,977.57
  5. Step 5: Solve for x
    x = 188,977.57/415.69
  6. Step 6: Final answer
    x = 454.61

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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.