Home / 1,191.21-1,789.53-704.59

Finding the Fourth Proportional to 1,191.21, 1,789.53 and 704.59

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Solution

The fourth proportional to 1,191.21, 1,789.53 and 704.59 is: 1,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.21 : 1,789.53 = 704.59 : x
  2. Step 2: Convert to fraction form
    1,191.21/1,789.53 = 704.59/x
  3. Step 3: Cross multiply
    1,191.21x = 1,789.53 × 704.59
  4. Step 4: Simplify right side
    1,191.21x = 1,260,884.94
  5. Step 5: Solve for x
    x = 1,260,884.94/1,191.21
  6. Step 6: Final answer
    x = 1,058.49

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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.