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Finding the Fourth Proportional to 896.56, 1,236.10 and 581.27

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Solution

The fourth proportional to 896.56, 1,236.10 and 581.27 is: 801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.56 : 1,236.10 = 581.27 : x
  2. Step 2: Convert to fraction form
    896.56/1,236.10 = 581.27/x
  3. Step 3: Cross multiply
    896.56x = 1,236.10 × 581.27
  4. Step 4: Simplify right side
    896.56x = 718,507.85
  5. Step 5: Solve for x
    x = 718,507.85/896.56
  6. Step 6: Final answer
    x = 801.41

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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.