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Finding the Fourth Proportional to 896.02, 1,236.31 and 686.43

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Solution

The fourth proportional to 896.02, 1,236.31 and 686.43 is: 947.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.02 : 1,236.31 = 686.43 : x
  2. Step 2: Convert to fraction form
    896.02/1,236.31 = 686.43/x
  3. Step 3: Cross multiply
    896.02x = 1,236.31 × 686.43
  4. Step 4: Simplify right side
    896.02x = 848,640.27
  5. Step 5: Solve for x
    x = 848,640.27/896.02
  6. Step 6: Final answer
    x = 947.12

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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.