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Finding the Fourth Proportional to 793.69, 1,189.91 and 427.97

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Solution

The fourth proportional to 793.69, 1,189.91 and 427.97 is: 641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.69 : 1,189.91 = 427.97 : x
  2. Step 2: Convert to fraction form
    793.69/1,189.91 = 427.97/x
  3. Step 3: Cross multiply
    793.69x = 1,189.91 × 427.97
  4. Step 4: Simplify right side
    793.69x = 509,249.83
  5. Step 5: Solve for x
    x = 509,249.83/793.69
  6. Step 6: Final answer
    x = 641.63

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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.