Home / 1,161.98-1,743.39-576.96

Finding the Fourth Proportional to 1,161.98, 1,743.39 and 576.96

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Solution

The fourth proportional to 1,161.98, 1,743.39 and 576.96 is: 865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.98 : 1,743.39 = 576.96 : x
  2. Step 2: Convert to fraction form
    1,161.98/1,743.39 = 576.96/x
  3. Step 3: Cross multiply
    1,161.98x = 1,743.39 × 576.96
  4. Step 4: Simplify right side
    1,161.98x = 1,005,866.29
  5. Step 5: Solve for x
    x = 1,005,866.29/1,161.98
  6. Step 6: Final answer
    x = 865.65

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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.