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Finding the Fourth Proportional to 834.06, 1,257.42 and 789.42

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Solution

The fourth proportional to 834.06, 1,257.42 and 789.42 is: 1,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.06 : 1,257.42 = 789.42 : x
  2. Step 2: Convert to fraction form
    834.06/1,257.42 = 789.42/x
  3. Step 3: Cross multiply
    834.06x = 1,257.42 × 789.42
  4. Step 4: Simplify right side
    834.06x = 992,632.50
  5. Step 5: Solve for x
    x = 992,632.50/834.06
  6. Step 6: Final answer
    x = 1,190.12

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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.