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Finding the Fourth Proportional to 2,240.90, 3,361.36 and 780.05

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Solution

The fourth proportional to 2,240.90, 3,361.36 and 780.05 is: 1,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.90 : 3,361.36 = 780.05 : x
  2. Step 2: Convert to fraction form
    2,240.90/3,361.36 = 780.05/x
  3. Step 3: Cross multiply
    2,240.90x = 3,361.36 × 780.05
  4. Step 4: Simplify right side
    2,240.90x = 2,622,008.16
  5. Step 5: Solve for x
    x = 2,622,008.16/2,240.90
  6. Step 6: Final answer
    x = 1,170.07

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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.