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Finding the Fourth Proportional to 414.33, 570.89 and 394.49

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Solution

The fourth proportional to 414.33, 570.89 and 394.49 is: 543.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.33 : 570.89 = 394.49 : x
  2. Step 2: Convert to fraction form
    414.33/570.89 = 394.49/x
  3. Step 3: Cross multiply
    414.33x = 570.89 × 394.49
  4. Step 4: Simplify right side
    414.33x = 225,205.57
  5. Step 5: Solve for x
    x = 225,205.57/414.33
  6. Step 6: Final answer
    x = 543.54

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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.