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Finding the Fourth Proportional to 793.56, 1,190.40 and 280.56

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Solution

The fourth proportional to 793.56, 1,190.40 and 280.56 is: 420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.56 : 1,190.40 = 280.56 : x
  2. Step 2: Convert to fraction form
    793.56/1,190.40 = 280.56/x
  3. Step 3: Cross multiply
    793.56x = 1,190.40 × 280.56
  4. Step 4: Simplify right side
    793.56x = 333,978.62
  5. Step 5: Solve for x
    x = 333,978.62/793.56
  6. Step 6: Final answer
    x = 420.86

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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.