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Finding the Fourth Proportional to 863.97, 1,296.79 and 817.14

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Solution

The fourth proportional to 863.97, 1,296.79 and 817.14 is: 1,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.97 : 1,296.79 = 817.14 : x
  2. Step 2: Convert to fraction form
    863.97/1,296.79 = 817.14/x
  3. Step 3: Cross multiply
    863.97x = 1,296.79 × 817.14
  4. Step 4: Simplify right side
    863.97x = 1,059,666.40
  5. Step 5: Solve for x
    x = 1,059,666.40/863.97
  6. Step 6: Final answer
    x = 1,226.51

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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.