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Finding the Fourth Proportional to 494.33, 682.25 and 297.83

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Solution

The fourth proportional to 494.33, 682.25 and 297.83 is: 411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.33 : 682.25 = 297.83 : x
  2. Step 2: Convert to fraction form
    494.33/682.25 = 297.83/x
  3. Step 3: Cross multiply
    494.33x = 682.25 × 297.83
  4. Step 4: Simplify right side
    494.33x = 203,194.73
  5. Step 5: Solve for x
    x = 203,194.73/494.33
  6. Step 6: Final answer
    x = 411.05

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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.