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Finding the Fourth Proportional to 793.86, 1,190.81 and 447.13

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Solution

The fourth proportional to 793.86, 1,190.81 and 447.13 is: 670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.86 : 1,190.81 = 447.13 : x
  2. Step 2: Convert to fraction form
    793.86/1,190.81 = 447.13/x
  3. Step 3: Cross multiply
    793.86x = 1,190.81 × 447.13
  4. Step 4: Simplify right side
    793.86x = 532,446.88
  5. Step 5: Solve for x
    x = 532,446.88/793.86
  6. Step 6: Final answer
    x = 670.71

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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.