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Finding the Fourth Proportional to 1,361.62, 2,041.08 and 539.38

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Solution

The fourth proportional to 1,361.62, 2,041.08 and 539.38 is: 808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.62 : 2,041.08 = 539.38 : x
  2. Step 2: Convert to fraction form
    1,361.62/2,041.08 = 539.38/x
  3. Step 3: Cross multiply
    1,361.62x = 2,041.08 × 539.38
  4. Step 4: Simplify right side
    1,361.62x = 1,100,917.73
  5. Step 5: Solve for x
    x = 1,100,917.73/1,361.62
  6. Step 6: Final answer
    x = 808.54

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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.