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Finding the Fourth Proportional to 494.96, 683.42 and 298.73

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Solution

The fourth proportional to 494.96, 683.42 and 298.73 is: 412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.96 : 683.42 = 298.73 : x
  2. Step 2: Convert to fraction form
    494.96/683.42 = 298.73/x
  3. Step 3: Cross multiply
    494.96x = 683.42 × 298.73
  4. Step 4: Simplify right side
    494.96x = 204,153.15
  5. Step 5: Solve for x
    x = 204,153.15/494.96
  6. Step 6: Final answer
    x = 412.47

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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.