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Finding the Fourth Proportional to 1,091.83, 1,635.09 and 721.41

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Solution

The fourth proportional to 1,091.83, 1,635.09 and 721.41 is: 1,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.83 : 1,635.09 = 721.41 : x
  2. Step 2: Convert to fraction form
    1,091.83/1,635.09 = 721.41/x
  3. Step 3: Cross multiply
    1,091.83x = 1,635.09 × 721.41
  4. Step 4: Simplify right side
    1,091.83x = 1,179,561.44
  5. Step 5: Solve for x
    x = 1,179,561.44/1,091.83
  6. Step 6: Final answer
    x = 1,080.35

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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.