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Finding the Fourth Proportional to 896.97, 1,237.46 and 518.79

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Solution

The fourth proportional to 896.97, 1,237.46 and 518.79 is: 715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.97 : 1,237.46 = 518.79 : x
  2. Step 2: Convert to fraction form
    896.97/1,237.46 = 518.79/x
  3. Step 3: Cross multiply
    896.97x = 1,237.46 × 518.79
  4. Step 4: Simplify right side
    896.97x = 641,973.09
  5. Step 5: Solve for x
    x = 641,973.09/896.97
  6. Step 6: Final answer
    x = 715.72

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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.