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Finding the Fourth Proportional to 1,361.07, 2,042.18 and 744.06

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Solution

The fourth proportional to 1,361.07, 2,042.18 and 744.06 is: 1,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.07 : 2,042.18 = 744.06 : x
  2. Step 2: Convert to fraction form
    1,361.07/2,042.18 = 744.06/x
  3. Step 3: Cross multiply
    1,361.07x = 2,042.18 × 744.06
  4. Step 4: Simplify right side
    1,361.07x = 1,519,504.45
  5. Step 5: Solve for x
    x = 1,519,504.45/1,361.07
  6. Step 6: Final answer
    x = 1,116.40

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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.