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Finding the Fourth Proportional to 2,859.43, 4,289.09 and 779.40

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Solution

The fourth proportional to 2,859.43, 4,289.09 and 779.40 is: 1,169.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.43 : 4,289.09 = 779.40 : x
  2. Step 2: Convert to fraction form
    2,859.43/4,289.09 = 779.40/x
  3. Step 3: Cross multiply
    2,859.43x = 4,289.09 × 779.40
  4. Step 4: Simplify right side
    2,859.43x = 3,342,916.75
  5. Step 5: Solve for x
    x = 3,342,916.75/2,859.43
  6. Step 6: Final answer
    x = 1,169.09

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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.