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Finding the Fourth Proportional to 634.52, 876.24 and 494.18

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Solution

The fourth proportional to 634.52, 876.24 and 494.18 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.52 : 876.24 = 494.18 : x
  2. Step 2: Convert to fraction form
    634.52/876.24 = 494.18/x
  3. Step 3: Cross multiply
    634.52x = 876.24 × 494.18
  4. Step 4: Simplify right side
    634.52x = 433,015.90
  5. Step 5: Solve for x
    x = 433,015.90/634.52
  6. Step 6: Final answer
    x = 682.44

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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.