Home / 1,161.26-1,742.09-576.30

Finding the Fourth Proportional to 1,161.26, 1,742.09 and 576.30

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Solution

The fourth proportional to 1,161.26, 1,742.09 and 576.30 is: 864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.26 : 1,742.09 = 576.30 : x
  2. Step 2: Convert to fraction form
    1,161.26/1,742.09 = 576.30/x
  3. Step 3: Cross multiply
    1,161.26x = 1,742.09 × 576.30
  4. Step 4: Simplify right side
    1,161.26x = 1,003,957.76
  5. Step 5: Solve for x
    x = 1,003,957.76/1,161.26
  6. Step 6: Final answer
    x = 864.54

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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.