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Finding the Fourth Proportional to 816.53, 1,222.97 and 789.19

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Solution

The fourth proportional to 816.53, 1,222.97 and 789.19 is: 1,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.53 : 1,222.97 = 789.19 : x
  2. Step 2: Convert to fraction form
    816.53/1,222.97 = 789.19/x
  3. Step 3: Cross multiply
    816.53x = 1,222.97 × 789.19
  4. Step 4: Simplify right side
    816.53x = 965,155.69
  5. Step 5: Solve for x
    x = 965,155.69/816.53
  6. Step 6: Final answer
    x = 1,182.02

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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.