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Finding the Fourth Proportional to 863.94, 1,190.20 and 758.85

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Solution

The fourth proportional to 863.94, 1,190.20 and 758.85 is: 1,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.94 : 1,190.20 = 758.85 : x
  2. Step 2: Convert to fraction form
    863.94/1,190.20 = 758.85/x
  3. Step 3: Cross multiply
    863.94x = 1,190.20 × 758.85
  4. Step 4: Simplify right side
    863.94x = 903,183.27
  5. Step 5: Solve for x
    x = 903,183.27/863.94
  6. Step 6: Final answer
    x = 1,045.42

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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.