Home / 1,161.92-1,742.85-545.91

Finding the Fourth Proportional to 1,161.92, 1,742.85 and 545.91

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Solution

The fourth proportional to 1,161.92, 1,742.85 and 545.91 is: 818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.92 : 1,742.85 = 545.91 : x
  2. Step 2: Convert to fraction form
    1,161.92/1,742.85 = 545.91/x
  3. Step 3: Cross multiply
    1,161.92x = 1,742.85 × 545.91
  4. Step 4: Simplify right side
    1,161.92x = 951,439.24
  5. Step 5: Solve for x
    x = 951,439.24/1,161.92
  6. Step 6: Final answer
    x = 818.85

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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.