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Finding the Fourth Proportional to 689.82, 951.35 and 636.96

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Solution

The fourth proportional to 689.82, 951.35 and 636.96 is: 878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 951.35 = 636.96 : x
  2. Step 2: Convert to fraction form
    689.82/951.35 = 636.96/x
  3. Step 3: Cross multiply
    689.82x = 951.35 × 636.96
  4. Step 4: Simplify right side
    689.82x = 605,972.28
  5. Step 5: Solve for x
    x = 605,972.28/689.82
  6. Step 6: Final answer
    x = 878.45

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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.