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Finding the Fourth Proportional to 2,779.78, 4,169.56 and 699.80

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Solution

The fourth proportional to 2,779.78, 4,169.56 and 699.80 is: 1,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.78 : 4,169.56 = 699.80 : x
  2. Step 2: Convert to fraction form
    2,779.78/4,169.56 = 699.80/x
  3. Step 3: Cross multiply
    2,779.78x = 4,169.56 × 699.80
  4. Step 4: Simplify right side
    2,779.78x = 2,917,858.09
  5. Step 5: Solve for x
    x = 2,917,858.09/2,779.78
  6. Step 6: Final answer
    x = 1,049.67

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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.