Home / 1,161.82-1,741.65-512.20

Finding the Fourth Proportional to 1,161.82, 1,741.65 and 512.20

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Solution

The fourth proportional to 1,161.82, 1,741.65 and 512.20 is: 767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.82 : 1,741.65 = 512.20 : x
  2. Step 2: Convert to fraction form
    1,161.82/1,741.65 = 512.20/x
  3. Step 3: Cross multiply
    1,161.82x = 1,741.65 × 512.20
  4. Step 4: Simplify right side
    1,161.82x = 892,073.13
  5. Step 5: Solve for x
    x = 892,073.13/1,161.82
  6. Step 6: Final answer
    x = 767.82

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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.