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Finding the Fourth Proportional to 1,231.28, 1,698.53 and 832.96

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Solution

The fourth proportional to 1,231.28, 1,698.53 and 832.96 is: 1,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.28 : 1,698.53 = 832.96 : x
  2. Step 2: Convert to fraction form
    1,231.28/1,698.53 = 832.96/x
  3. Step 3: Cross multiply
    1,231.28x = 1,698.53 × 832.96
  4. Step 4: Simplify right side
    1,231.28x = 1,414,806.59
  5. Step 5: Solve for x
    x = 1,414,806.59/1,231.28
  6. Step 6: Final answer
    x = 1,149.05

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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.