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Finding the Fourth Proportional to 789.80, 1,179.19 and 712.04

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Solution

The fourth proportional to 789.80, 1,179.19 and 712.04 is: 1,063.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.80 : 1,179.19 = 712.04 : x
  2. Step 2: Convert to fraction form
    789.80/1,179.19 = 712.04/x
  3. Step 3: Cross multiply
    789.80x = 1,179.19 × 712.04
  4. Step 4: Simplify right side
    789.80x = 839,626.89
  5. Step 5: Solve for x
    x = 839,626.89/789.80
  6. Step 6: Final answer
    x = 1,063.09

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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.