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Finding the Fourth Proportional to 2,779.65, 4,169.48 and 699.67

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Solution

The fourth proportional to 2,779.65, 4,169.48 and 699.67 is: 1,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.65 : 4,169.48 = 699.67 : x
  2. Step 2: Convert to fraction form
    2,779.65/4,169.48 = 699.67/x
  3. Step 3: Cross multiply
    2,779.65x = 4,169.48 × 699.67
  4. Step 4: Simplify right side
    2,779.65x = 2,917,257.42
  5. Step 5: Solve for x
    x = 2,917,257.42/2,779.65
  6. Step 6: Final answer
    x = 1,049.50

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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.