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Finding the Fourth Proportional to 793.92, 1,189.84 and 382.24

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Solution

The fourth proportional to 793.92, 1,189.84 and 382.24 is: 572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.92 : 1,189.84 = 382.24 : x
  2. Step 2: Convert to fraction form
    793.92/1,189.84 = 382.24/x
  3. Step 3: Cross multiply
    793.92x = 1,189.84 × 382.24
  4. Step 4: Simplify right side
    793.92x = 454,804.44
  5. Step 5: Solve for x
    x = 454,804.44/793.92
  6. Step 6: Final answer
    x = 572.86

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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.