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Finding the Fourth Proportional to 793.72, 1,184.80 and 696.52

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Solution

The fourth proportional to 793.72, 1,184.80 and 696.52 is: 1,039.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.72 : 1,184.80 = 696.52 : x
  2. Step 2: Convert to fraction form
    793.72/1,184.80 = 696.52/x
  3. Step 3: Cross multiply
    793.72x = 1,184.80 × 696.52
  4. Step 4: Simplify right side
    793.72x = 825,236.90
  5. Step 5: Solve for x
    x = 825,236.90/793.72
  6. Step 6: Final answer
    x = 1,039.71

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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.