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Finding the Fourth Proportional to 2,628.25, 3,942.98 and 779.32

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Solution

The fourth proportional to 2,628.25, 3,942.98 and 779.32 is: 1,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.25 : 3,942.98 = 779.32 : x
  2. Step 2: Convert to fraction form
    2,628.25/3,942.98 = 779.32/x
  3. Step 3: Cross multiply
    2,628.25x = 3,942.98 × 779.32
  4. Step 4: Simplify right side
    2,628.25x = 3,072,847.13
  5. Step 5: Solve for x
    x = 3,072,847.13/2,628.25
  6. Step 6: Final answer
    x = 1,169.16

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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.