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Finding the Fourth Proportional to 896.03, 1,236.05 and 563.83

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Solution

The fourth proportional to 896.03, 1,236.05 and 563.83 is: 777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.03 : 1,236.05 = 563.83 : x
  2. Step 2: Convert to fraction form
    896.03/1,236.05 = 563.83/x
  3. Step 3: Cross multiply
    896.03x = 1,236.05 × 563.83
  4. Step 4: Simplify right side
    896.03x = 696,922.07
  5. Step 5: Solve for x
    x = 696,922.07/896.03
  6. Step 6: Final answer
    x = 777.79

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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.