Home / 1,162.17-1,743.26-432.09

Finding the Fourth Proportional to 1,162.17, 1,743.26 and 432.09

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Solution

The fourth proportional to 1,162.17, 1,743.26 and 432.09 is: 648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.17 : 1,743.26 = 432.09 : x
  2. Step 2: Convert to fraction form
    1,162.17/1,743.26 = 432.09/x
  3. Step 3: Cross multiply
    1,162.17x = 1,743.26 × 432.09
  4. Step 4: Simplify right side
    1,162.17x = 753,243.05
  5. Step 5: Solve for x
    x = 753,243.05/1,162.17
  6. Step 6: Final answer
    x = 648.14

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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.