Home / 1,162.20-1,742.47-576.48

Finding the Fourth Proportional to 1,162.20, 1,742.47 and 576.48

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Solution

The fourth proportional to 1,162.20, 1,742.47 and 576.48 is: 864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.20 : 1,742.47 = 576.48 : x
  2. Step 2: Convert to fraction form
    1,162.20/1,742.47 = 576.48/x
  3. Step 3: Cross multiply
    1,162.20x = 1,742.47 × 576.48
  4. Step 4: Simplify right side
    1,162.20x = 1,004,499.11
  5. Step 5: Solve for x
    x = 1,004,499.11/1,162.20
  6. Step 6: Final answer
    x = 864.31

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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.