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Finding the Fourth Proportional to 1,236.83, 1,707.36 and 923.09

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Solution

The fourth proportional to 1,236.83, 1,707.36 and 923.09 is: 1,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.83 : 1,707.36 = 923.09 : x
  2. Step 2: Convert to fraction form
    1,236.83/1,707.36 = 923.09/x
  3. Step 3: Cross multiply
    1,236.83x = 1,707.36 × 923.09
  4. Step 4: Simplify right side
    1,236.83x = 1,576,046.94
  5. Step 5: Solve for x
    x = 1,576,046.94/1,236.83
  6. Step 6: Final answer
    x = 1,274.26

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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.