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Finding the Fourth Proportional to 896.27, 1,236.33 and 616.06

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Solution

The fourth proportional to 896.27, 1,236.33 and 616.06 is: 849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.27 : 1,236.33 = 616.06 : x
  2. Step 2: Convert to fraction form
    896.27/1,236.33 = 616.06/x
  3. Step 3: Cross multiply
    896.27x = 1,236.33 × 616.06
  4. Step 4: Simplify right side
    896.27x = 761,655.01
  5. Step 5: Solve for x
    x = 761,655.01/896.27
  6. Step 6: Final answer
    x = 849.81

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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.