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Finding the Fourth Proportional to 961.06, 1,440.81 and 884.18

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Solution

The fourth proportional to 961.06, 1,440.81 and 884.18 is: 1,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.06 : 1,440.81 = 884.18 : x
  2. Step 2: Convert to fraction form
    961.06/1,440.81 = 884.18/x
  3. Step 3: Cross multiply
    961.06x = 1,440.81 × 884.18
  4. Step 4: Simplify right side
    961.06x = 1,273,928.18
  5. Step 5: Solve for x
    x = 1,273,928.18/961.06
  6. Step 6: Final answer
    x = 1,325.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.