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Finding the Fourth Proportional to 1,447.59, 2,171.39 and 351.96

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Solution

The fourth proportional to 1,447.59, 2,171.39 and 351.96 is: 527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.59 : 2,171.39 = 351.96 : x
  2. Step 2: Convert to fraction form
    1,447.59/2,171.39 = 351.96/x
  3. Step 3: Cross multiply
    1,447.59x = 2,171.39 × 351.96
  4. Step 4: Simplify right side
    1,447.59x = 764,243.30
  5. Step 5: Solve for x
    x = 764,243.30/1,447.59
  6. Step 6: Final answer
    x = 527.94

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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.