Home / 1,091.32-1,633.30-743.80

Finding the Fourth Proportional to 1,091.32, 1,633.30 and 743.80

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Solution

The fourth proportional to 1,091.32, 1,633.30 and 743.80 is: 1,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.32 : 1,633.30 = 743.80 : x
  2. Step 2: Convert to fraction form
    1,091.32/1,633.30 = 743.80/x
  3. Step 3: Cross multiply
    1,091.32x = 1,633.30 × 743.80
  4. Step 4: Simplify right side
    1,091.32x = 1,214,848.54
  5. Step 5: Solve for x
    x = 1,214,848.54/1,091.32
  6. Step 6: Final answer
    x = 1,113.19

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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.