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Finding the Fourth Proportional to 2,965.26, 4,448.16 and 774

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Solution

The fourth proportional to 2,965.26, 4,448.16 and 774 is: 1,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.26 : 4,448.16 = 774 : x
  2. Step 2: Convert to fraction form
    2,965.26/4,448.16 = 774/x
  3. Step 3: Cross multiply
    2,965.26x = 4,448.16 × 774
  4. Step 4: Simplify right side
    2,965.26x = 3,442,875.84
  5. Step 5: Solve for x
    x = 3,442,875.84/2,965.26
  6. Step 6: Final answer
    x = 1,161.07

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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.