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Finding the Fourth Proportional to 793.52, 1,189.80 and 408.56

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Solution

The fourth proportional to 793.52, 1,189.80 and 408.56 is: 612.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.52 : 1,189.80 = 408.56 : x
  2. Step 2: Convert to fraction form
    793.52/1,189.80 = 408.56/x
  3. Step 3: Cross multiply
    793.52x = 1,189.80 × 408.56
  4. Step 4: Simplify right side
    793.52x = 486,104.69
  5. Step 5: Solve for x
    x = 486,104.69/793.52
  6. Step 6: Final answer
    x = 612.59

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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.