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Finding the Fourth Proportional to 884.38, 1,219.26 and 759.50

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Solution

The fourth proportional to 884.38, 1,219.26 and 759.50 is: 1,047.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.38 : 1,219.26 = 759.50 : x
  2. Step 2: Convert to fraction form
    884.38/1,219.26 = 759.50/x
  3. Step 3: Cross multiply
    884.38x = 1,219.26 × 759.50
  4. Step 4: Simplify right side
    884.38x = 926,027.97
  5. Step 5: Solve for x
    x = 926,027.97/884.38
  6. Step 6: Final answer
    x = 1,047.09

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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.