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Finding the Fourth Proportional to 1,231.74, 1,842.94 and 684.31

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Solution

The fourth proportional to 1,231.74, 1,842.94 and 684.31 is: 1,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.74 : 1,842.94 = 684.31 : x
  2. Step 2: Convert to fraction form
    1,231.74/1,842.94 = 684.31/x
  3. Step 3: Cross multiply
    1,231.74x = 1,842.94 × 684.31
  4. Step 4: Simplify right side
    1,231.74x = 1,261,142.27
  5. Step 5: Solve for x
    x = 1,261,142.27/1,231.74
  6. Step 6: Final answer
    x = 1,023.87

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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.