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Finding the Fourth Proportional to 961.40, 1,325.20 and 786.44

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Solution

The fourth proportional to 961.40, 1,325.20 and 786.44 is: 1,084.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.40 : 1,325.20 = 786.44 : x
  2. Step 2: Convert to fraction form
    961.40/1,325.20 = 786.44/x
  3. Step 3: Cross multiply
    961.40x = 1,325.20 × 786.44
  4. Step 4: Simplify right side
    961.40x = 1,042,190.29
  5. Step 5: Solve for x
    x = 1,042,190.29/961.40
  6. Step 6: Final answer
    x = 1,084.03

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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.