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Finding the Fourth Proportional to 896.57, 1,233.63 and 874.97

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Solution

The fourth proportional to 896.57, 1,233.63 and 874.97 is: 1,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.57 : 1,233.63 = 874.97 : x
  2. Step 2: Convert to fraction form
    896.57/1,233.63 = 874.97/x
  3. Step 3: Cross multiply
    896.57x = 1,233.63 × 874.97
  4. Step 4: Simplify right side
    896.57x = 1,079,383.07
  5. Step 5: Solve for x
    x = 1,079,383.07/896.57
  6. Step 6: Final answer
    x = 1,203.91

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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.