Home / 1,162.22-1,742.07-431.39

Finding the Fourth Proportional to 1,162.22, 1,742.07 and 431.39

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Solution

The fourth proportional to 1,162.22, 1,742.07 and 431.39 is: 646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.22 : 1,742.07 = 431.39 : x
  2. Step 2: Convert to fraction form
    1,162.22/1,742.07 = 431.39/x
  3. Step 3: Cross multiply
    1,162.22x = 1,742.07 × 431.39
  4. Step 4: Simplify right side
    1,162.22x = 751,517.55
  5. Step 5: Solve for x
    x = 751,517.55/1,162.22
  6. Step 6: Final answer
    x = 646.63

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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.