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Finding the Fourth Proportional to 793.18, 1,184.81 and 789.40

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Solution

The fourth proportional to 793.18, 1,184.81 and 789.40 is: 1,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.18 : 1,184.81 = 789.40 : x
  2. Step 2: Convert to fraction form
    793.18/1,184.81 = 789.40/x
  3. Step 3: Cross multiply
    793.18x = 1,184.81 × 789.40
  4. Step 4: Simplify right side
    793.18x = 935,289.01
  5. Step 5: Solve for x
    x = 935,289.01/793.18
  6. Step 6: Final answer
    x = 1,179.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.