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Finding the Fourth Proportional to 793.26, 1,189.90 and 280.26

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Solution

The fourth proportional to 793.26, 1,189.90 and 280.26 is: 420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.26 : 1,189.90 = 280.26 : x
  2. Step 2: Convert to fraction form
    793.26/1,189.90 = 280.26/x
  3. Step 3: Cross multiply
    793.26x = 1,189.90 × 280.26
  4. Step 4: Simplify right side
    793.26x = 333,481.37
  5. Step 5: Solve for x
    x = 333,481.37/793.26
  6. Step 6: Final answer
    x = 420.39

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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.