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Finding the Fourth Proportional to 1,076.43, 1,609.77 and 829.59

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Solution

The fourth proportional to 1,076.43, 1,609.77 and 829.59 is: 1,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.43 : 1,609.77 = 829.59 : x
  2. Step 2: Convert to fraction form
    1,076.43/1,609.77 = 829.59/x
  3. Step 3: Cross multiply
    1,076.43x = 1,609.77 × 829.59
  4. Step 4: Simplify right side
    1,076.43x = 1,335,449.09
  5. Step 5: Solve for x
    x = 1,335,449.09/1,076.43
  6. Step 6: Final answer
    x = 1,240.63

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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.