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Finding the Fourth Proportional to 1,361.09, 2,041.94 and 387.27

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Solution

The fourth proportional to 1,361.09, 2,041.94 and 387.27 is: 580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.09 : 2,041.94 = 387.27 : x
  2. Step 2: Convert to fraction form
    1,361.09/2,041.94 = 387.27/x
  3. Step 3: Cross multiply
    1,361.09x = 2,041.94 × 387.27
  4. Step 4: Simplify right side
    1,361.09x = 790,783.07
  5. Step 5: Solve for x
    x = 790,783.07/1,361.09
  6. Step 6: Final answer
    x = 580.99

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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.