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Finding the Fourth Proportional to 868.56, 1,296.11 and 776.27

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Solution

The fourth proportional to 868.56, 1,296.11 and 776.27 is: 1,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.56 : 1,296.11 = 776.27 : x
  2. Step 2: Convert to fraction form
    868.56/1,296.11 = 776.27/x
  3. Step 3: Cross multiply
    868.56x = 1,296.11 × 776.27
  4. Step 4: Simplify right side
    868.56x = 1,006,120.95
  5. Step 5: Solve for x
    x = 1,006,120.95/868.56
  6. Step 6: Final answer
    x = 1,158.38

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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.