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Finding the Fourth Proportional to 1,361.86, 2,043.14 and 387.96

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Solution

The fourth proportional to 1,361.86, 2,043.14 and 387.96 is: 582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.86 : 2,043.14 = 387.96 : x
  2. Step 2: Convert to fraction form
    1,361.86/2,043.14 = 387.96/x
  3. Step 3: Cross multiply
    1,361.86x = 2,043.14 × 387.96
  4. Step 4: Simplify right side
    1,361.86x = 792,666.41
  5. Step 5: Solve for x
    x = 792,666.41/1,361.86
  6. Step 6: Final answer
    x = 582.05

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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.