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Finding the Fourth Proportional to 793.53, 1,189.44 and 280.17

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Solution

The fourth proportional to 793.53, 1,189.44 and 280.17 is: 419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.53 : 1,189.44 = 280.17 : x
  2. Step 2: Convert to fraction form
    793.53/1,189.44 = 280.17/x
  3. Step 3: Cross multiply
    793.53x = 1,189.44 × 280.17
  4. Step 4: Simplify right side
    793.53x = 333,245.40
  5. Step 5: Solve for x
    x = 333,245.40/793.53
  6. Step 6: Final answer
    x = 419.95

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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.