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Finding the Fourth Proportional to 896.70, 1,236.12 and 616.50

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Solution

The fourth proportional to 896.70, 1,236.12 and 616.50 is: 849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.70 : 1,236.12 = 616.50 : x
  2. Step 2: Convert to fraction form
    896.70/1,236.12 = 616.50/x
  3. Step 3: Cross multiply
    896.70x = 1,236.12 × 616.50
  4. Step 4: Simplify right side
    896.70x = 762,067.98
  5. Step 5: Solve for x
    x = 762,067.98/896.70
  6. Step 6: Final answer
    x = 849.86

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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.