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Finding the Fourth Proportional to 634.26, 876.42 and 494.73

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Solution

The fourth proportional to 634.26, 876.42 and 494.73 is: 683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.26 : 876.42 = 494.73 : x
  2. Step 2: Convert to fraction form
    634.26/876.42 = 494.73/x
  3. Step 3: Cross multiply
    634.26x = 876.42 × 494.73
  4. Step 4: Simplify right side
    634.26x = 433,591.27
  5. Step 5: Solve for x
    x = 433,591.27/634.26
  6. Step 6: Final answer
    x = 683.62

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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.