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Finding the Fourth Proportional to 863.41, 1,288.85 and 799.17

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Solution

The fourth proportional to 863.41, 1,288.85 and 799.17 is: 1,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.41 : 1,288.85 = 799.17 : x
  2. Step 2: Convert to fraction form
    863.41/1,288.85 = 799.17/x
  3. Step 3: Cross multiply
    863.41x = 1,288.85 × 799.17
  4. Step 4: Simplify right side
    863.41x = 1,030,010.25
  5. Step 5: Solve for x
    x = 1,030,010.25/863.41
  6. Step 6: Final answer
    x = 1,192.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.