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Finding the Fourth Proportional to 793.09, 1,189.64 and 215.97

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Solution

The fourth proportional to 793.09, 1,189.64 and 215.97 is: 323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.09 : 1,189.64 = 215.97 : x
  2. Step 2: Convert to fraction form
    793.09/1,189.64 = 215.97/x
  3. Step 3: Cross multiply
    793.09x = 1,189.64 × 215.97
  4. Step 4: Simplify right side
    793.09x = 256,919.52
  5. Step 5: Solve for x
    x = 256,919.52/793.09
  6. Step 6: Final answer
    x = 323.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.