Home / 1,161.94-1,742.68-576.33

Finding the Fourth Proportional to 1,161.94, 1,742.68 and 576.33

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Solution

The fourth proportional to 1,161.94, 1,742.68 and 576.33 is: 864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.94 : 1,742.68 = 576.33 : x
  2. Step 2: Convert to fraction form
    1,161.94/1,742.68 = 576.33/x
  3. Step 3: Cross multiply
    1,161.94x = 1,742.68 × 576.33
  4. Step 4: Simplify right side
    1,161.94x = 1,004,358.76
  5. Step 5: Solve for x
    x = 1,004,358.76/1,161.94
  6. Step 6: Final answer
    x = 864.38

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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.