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Finding the Fourth Proportional to 1,231.27, 1,699.02 and 759.09

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Solution

The fourth proportional to 1,231.27, 1,699.02 and 759.09 is: 1,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.27 : 1,699.02 = 759.09 : x
  2. Step 2: Convert to fraction form
    1,231.27/1,699.02 = 759.09/x
  3. Step 3: Cross multiply
    1,231.27x = 1,699.02 × 759.09
  4. Step 4: Simplify right side
    1,231.27x = 1,289,709.09
  5. Step 5: Solve for x
    x = 1,289,709.09/1,231.27
  6. Step 6: Final answer
    x = 1,047.46

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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.