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Finding the Fourth Proportional to 793.20, 1,190.20 and 360.30

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Solution

The fourth proportional to 793.20, 1,190.20 and 360.30 is: 540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.20 : 1,190.20 = 360.30 : x
  2. Step 2: Convert to fraction form
    793.20/1,190.20 = 360.30/x
  3. Step 3: Cross multiply
    793.20x = 1,190.20 × 360.30
  4. Step 4: Simplify right side
    793.20x = 428,829.06
  5. Step 5: Solve for x
    x = 428,829.06/793.20
  6. Step 6: Final answer
    x = 540.63

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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.