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Finding the Fourth Proportional to 1,361.36, 2,040.62 and 581.18

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Solution

The fourth proportional to 1,361.36, 2,040.62 and 581.18 is: 871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.36 : 2,040.62 = 581.18 : x
  2. Step 2: Convert to fraction form
    1,361.36/2,040.62 = 581.18/x
  3. Step 3: Cross multiply
    1,361.36x = 2,040.62 × 581.18
  4. Step 4: Simplify right side
    1,361.36x = 1,185,964.63
  5. Step 5: Solve for x
    x = 1,185,964.63/1,361.36
  6. Step 6: Final answer
    x = 871.16

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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.