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Finding the Fourth Proportional to 793.20, 1,189.48 and 280.08

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Solution

The fourth proportional to 793.20, 1,189.48 and 280.08 is: 420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.20 : 1,189.48 = 280.08 : x
  2. Step 2: Convert to fraction form
    793.20/1,189.48 = 280.08/x
  3. Step 3: Cross multiply
    793.20x = 1,189.48 × 280.08
  4. Step 4: Simplify right side
    793.20x = 333,149.56
  5. Step 5: Solve for x
    x = 333,149.56/793.20
  6. Step 6: Final answer
    x = 420.01

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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.