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Finding the Fourth Proportional to 789.80, 1,192.14 and 789.80

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Solution

The fourth proportional to 789.80, 1,192.14 and 789.80 is: 1,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.80 : 1,192.14 = 789.80 : x
  2. Step 2: Convert to fraction form
    789.80/1,192.14 = 789.80/x
  3. Step 3: Cross multiply
    789.80x = 1,192.14 × 789.80
  4. Step 4: Simplify right side
    789.80x = 941,546.21
  5. Step 5: Solve for x
    x = 941,546.21/789.80
  6. Step 6: Final answer
    x = 1,192.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.