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Finding the Fourth Proportional to 789.09, 1,087.67 and 694.32

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Solution

The fourth proportional to 789.09, 1,087.67 and 694.32 is: 957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.09 : 1,087.67 = 694.32 : x
  2. Step 2: Convert to fraction form
    789.09/1,087.67 = 694.32/x
  3. Step 3: Cross multiply
    789.09x = 1,087.67 × 694.32
  4. Step 4: Simplify right side
    789.09x = 755,187.56
  5. Step 5: Solve for x
    x = 755,187.56/789.09
  6. Step 6: Final answer
    x = 957.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.