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Finding the Fourth Proportional to 863.81, 1,189.28 and 768.83

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Solution

The fourth proportional to 863.81, 1,189.28 and 768.83 is: 1,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.81 : 1,189.28 = 768.83 : x
  2. Step 2: Convert to fraction form
    863.81/1,189.28 = 768.83/x
  3. Step 3: Cross multiply
    863.81x = 1,189.28 × 768.83
  4. Step 4: Simplify right side
    863.81x = 914,344.35
  5. Step 5: Solve for x
    x = 914,344.35/863.81
  6. Step 6: Final answer
    x = 1,058.51

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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.