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Finding the Fourth Proportional to 896.97, 1,232.59 and 749.35

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Solution

The fourth proportional to 896.97, 1,232.59 and 749.35 is: 1,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.97 : 1,232.59 = 749.35 : x
  2. Step 2: Convert to fraction form
    896.97/1,232.59 = 749.35/x
  3. Step 3: Cross multiply
    896.97x = 1,232.59 × 749.35
  4. Step 4: Simplify right side
    896.97x = 923,636.36
  5. Step 5: Solve for x
    x = 923,636.36/896.97
  6. Step 6: Final answer
    x = 1,029.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.