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Finding the Fourth Proportional to 1,361.12, 2,041.68 and 387.22

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Solution

The fourth proportional to 1,361.12, 2,041.68 and 387.22 is: 580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.12 : 2,041.68 = 387.22 : x
  2. Step 2: Convert to fraction form
    1,361.12/2,041.68 = 387.22/x
  3. Step 3: Cross multiply
    1,361.12x = 2,041.68 × 387.22
  4. Step 4: Simplify right side
    1,361.12x = 790,579.33
  5. Step 5: Solve for x
    x = 790,579.33/1,361.12
  6. Step 6: Final answer
    x = 580.83

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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.