Home / 1,162.20-1,743.12-431.60

Finding the Fourth Proportional to 1,162.20, 1,743.12 and 431.60

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Solution

The fourth proportional to 1,162.20, 1,743.12 and 431.60 is: 647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.20 : 1,743.12 = 431.60 : x
  2. Step 2: Convert to fraction form
    1,162.20/1,743.12 = 431.60/x
  3. Step 3: Cross multiply
    1,162.20x = 1,743.12 × 431.60
  4. Step 4: Simplify right side
    1,162.20x = 752,330.59
  5. Step 5: Solve for x
    x = 752,330.59/1,162.20
  6. Step 6: Final answer
    x = 647.33

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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.