Home / 1,162.12-1,741.92-545.44

Finding the Fourth Proportional to 1,162.12, 1,741.92 and 545.44

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Solution

The fourth proportional to 1,162.12, 1,741.92 and 545.44 is: 817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.12 : 1,741.92 = 545.44 : x
  2. Step 2: Convert to fraction form
    1,162.12/1,741.92 = 545.44/x
  3. Step 3: Cross multiply
    1,162.12x = 1,741.92 × 545.44
  4. Step 4: Simplify right side
    1,162.12x = 950,112.84
  5. Step 5: Solve for x
    x = 950,112.84/1,162.12
  6. Step 6: Final answer
    x = 817.57

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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.