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Finding the Fourth Proportional to 881.87, 1,321.81 and 419.27

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Solution

The fourth proportional to 881.87, 1,321.81 and 419.27 is: 628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.87 : 1,321.81 = 419.27 : x
  2. Step 2: Convert to fraction form
    881.87/1,321.81 = 419.27/x
  3. Step 3: Cross multiply
    881.87x = 1,321.81 × 419.27
  4. Step 4: Simplify right side
    881.87x = 554,187.62
  5. Step 5: Solve for x
    x = 554,187.62/881.87
  6. Step 6: Final answer
    x = 628.43

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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.