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Finding the Fourth Proportional to 793.68, 1,191.16 and 611.52

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Solution

The fourth proportional to 793.68, 1,191.16 and 611.52 is: 917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.68 : 1,191.16 = 611.52 : x
  2. Step 2: Convert to fraction form
    793.68/1,191.16 = 611.52/x
  3. Step 3: Cross multiply
    793.68x = 1,191.16 × 611.52
  4. Step 4: Simplify right side
    793.68x = 728,418.16
  5. Step 5: Solve for x
    x = 728,418.16/793.68
  6. Step 6: Final answer
    x = 917.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.