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Finding the Fourth Proportional to 927.75, 1,277.76 and 863.19

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Solution

The fourth proportional to 927.75, 1,277.76 and 863.19 is: 1,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.75 : 1,277.76 = 863.19 : x
  2. Step 2: Convert to fraction form
    927.75/1,277.76 = 863.19/x
  3. Step 3: Cross multiply
    927.75x = 1,277.76 × 863.19
  4. Step 4: Simplify right side
    927.75x = 1,102,949.65
  5. Step 5: Solve for x
    x = 1,102,949.65/927.75
  6. Step 6: Final answer
    x = 1,188.84

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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.