Home / 1,171.11-1,756.16-826.66

Finding the Fourth Proportional to 1,171.11, 1,756.16 and 826.66

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Solution

The fourth proportional to 1,171.11, 1,756.16 and 826.66 is: 1,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.11 : 1,756.16 = 826.66 : x
  2. Step 2: Convert to fraction form
    1,171.11/1,756.16 = 826.66/x
  3. Step 3: Cross multiply
    1,171.11x = 1,756.16 × 826.66
  4. Step 4: Simplify right side
    1,171.11x = 1,451,747.23
  5. Step 5: Solve for x
    x = 1,451,747.23/1,171.11
  6. Step 6: Final answer
    x = 1,239.63

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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.