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Finding the Fourth Proportional to 868.68, 1,296.27 and 791.06

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Solution

The fourth proportional to 868.68, 1,296.27 and 791.06 is: 1,180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.68 : 1,296.27 = 791.06 : x
  2. Step 2: Convert to fraction form
    868.68/1,296.27 = 791.06/x
  3. Step 3: Cross multiply
    868.68x = 1,296.27 × 791.06
  4. Step 4: Simplify right side
    868.68x = 1,025,420.86
  5. Step 5: Solve for x
    x = 1,025,420.86/868.68
  6. Step 6: Final answer
    x = 1,180.44

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1.5x scale

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.