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Finding the Fourth Proportional to 793.96, 1,181.33 and 774.12

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Solution

The fourth proportional to 793.96, 1,181.33 and 774.12 is: 1,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.96 : 1,181.33 = 774.12 : x
  2. Step 2: Convert to fraction form
    793.96/1,181.33 = 774.12/x
  3. Step 3: Cross multiply
    793.96x = 1,181.33 × 774.12
  4. Step 4: Simplify right side
    793.96x = 914,491.18
  5. Step 5: Solve for x
    x = 914,491.18/793.96
  6. Step 6: Final answer
    x = 1,151.81

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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.