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Finding the Fourth Proportional to 863.82, 1,296.39 and 633.31

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Solution

The fourth proportional to 863.82, 1,296.39 and 633.31 is: 950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.82 : 1,296.39 = 633.31 : x
  2. Step 2: Convert to fraction form
    863.82/1,296.39 = 633.31/x
  3. Step 3: Cross multiply
    863.82x = 1,296.39 × 633.31
  4. Step 4: Simplify right side
    863.82x = 821,016.75
  5. Step 5: Solve for x
    x = 821,016.75/863.82
  6. Step 6: Final answer
    x = 950.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.