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Finding the Fourth Proportional to 2,259.74, 3,389.89 and 779.26

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Solution

The fourth proportional to 2,259.74, 3,389.89 and 779.26 is: 1,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.74 : 3,389.89 = 779.26 : x
  2. Step 2: Convert to fraction form
    2,259.74/3,389.89 = 779.26/x
  3. Step 3: Cross multiply
    2,259.74x = 3,389.89 × 779.26
  4. Step 4: Simplify right side
    2,259.74x = 2,641,605.68
  5. Step 5: Solve for x
    x = 2,641,605.68/2,259.74
  6. Step 6: Final answer
    x = 1,168.99

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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.