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Finding the Fourth Proportional to 834.31, 1,257.80 and 789.67

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Solution

The fourth proportional to 834.31, 1,257.80 and 789.67 is: 1,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.31 : 1,257.80 = 789.67 : x
  2. Step 2: Convert to fraction form
    834.31/1,257.80 = 789.67/x
  3. Step 3: Cross multiply
    834.31x = 1,257.80 × 789.67
  4. Step 4: Simplify right side
    834.31x = 993,246.93
  5. Step 5: Solve for x
    x = 993,246.93/834.31
  6. Step 6: Final answer
    x = 1,190.50

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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.