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Finding the Fourth Proportional to 2,440.44, 3,659.73 and 774.37

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Solution

The fourth proportional to 2,440.44, 3,659.73 and 774.37 is: 1,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.44 : 3,659.73 = 774.37 : x
  2. Step 2: Convert to fraction form
    2,440.44/3,659.73 = 774.37/x
  3. Step 3: Cross multiply
    2,440.44x = 3,659.73 × 774.37
  4. Step 4: Simplify right side
    2,440.44x = 2,833,985.12
  5. Step 5: Solve for x
    x = 2,833,985.12/2,440.44
  6. Step 6: Final answer
    x = 1,161.26

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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.