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Finding the Fourth Proportional to 793.82, 1,192.80 and 744.62

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Solution

The fourth proportional to 793.82, 1,192.80 and 744.62 is: 1,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.82 : 1,192.80 = 744.62 : x
  2. Step 2: Convert to fraction form
    793.82/1,192.80 = 744.62/x
  3. Step 3: Cross multiply
    793.82x = 1,192.80 × 744.62
  4. Step 4: Simplify right side
    793.82x = 888,182.74
  5. Step 5: Solve for x
    x = 888,182.74/793.82
  6. Step 6: Final answer
    x = 1,118.87

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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.