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Finding the Fourth Proportional to 793.89, 1,191.39 and 280.89

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Solution

The fourth proportional to 793.89, 1,191.39 and 280.89 is: 421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.89 : 1,191.39 = 280.89 : x
  2. Step 2: Convert to fraction form
    793.89/1,191.39 = 280.89/x
  3. Step 3: Cross multiply
    793.89x = 1,191.39 × 280.89
  4. Step 4: Simplify right side
    793.89x = 334,649.54
  5. Step 5: Solve for x
    x = 334,649.54/793.89
  6. Step 6: Final answer
    x = 421.53

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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.