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Finding the Fourth Proportional to 1,011.22, 1,516.57 and 681.97

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Solution

The fourth proportional to 1,011.22, 1,516.57 and 681.97 is: 1,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.22 : 1,516.57 = 681.97 : x
  2. Step 2: Convert to fraction form
    1,011.22/1,516.57 = 681.97/x
  3. Step 3: Cross multiply
    1,011.22x = 1,516.57 × 681.97
  4. Step 4: Simplify right side
    1,011.22x = 1,034,256.43
  5. Step 5: Solve for x
    x = 1,034,256.43/1,011.22
  6. Step 6: Final answer
    x = 1,022.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.