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Finding the Fourth Proportional to 1,779, 2,669.46 and 867

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Solution

The fourth proportional to 1,779, 2,669.46 and 867 is: 1,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779 : 2,669.46 = 867 : x
  2. Step 2: Convert to fraction form
    1,779/2,669.46 = 867/x
  3. Step 3: Cross multiply
    1,779x = 2,669.46 × 867
  4. Step 4: Simplify right side
    1,779x = 2,314,421.82
  5. Step 5: Solve for x
    x = 2,314,421.82/1,779
  6. Step 6: Final answer
    x = 1,300.97

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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.