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Finding the Fourth Proportional to 789.20, 1,106.50 and 789.20

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Solution

The fourth proportional to 789.20, 1,106.50 and 789.20 is: 1,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.20 : 1,106.50 = 789.20 : x
  2. Step 2: Convert to fraction form
    789.20/1,106.50 = 789.20/x
  3. Step 3: Cross multiply
    789.20x = 1,106.50 × 789.20
  4. Step 4: Simplify right side
    789.20x = 873,249.80
  5. Step 5: Solve for x
    x = 873,249.80/789.20
  6. Step 6: Final answer
    x = 1,106.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.