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Finding the Fourth Proportional to 881.71, 1,322.56 and 518.81

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Solution

The fourth proportional to 881.71, 1,322.56 and 518.81 is: 778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.71 : 1,322.56 = 518.81 : x
  2. Step 2: Convert to fraction form
    881.71/1,322.56 = 518.81/x
  3. Step 3: Cross multiply
    881.71x = 1,322.56 × 518.81
  4. Step 4: Simplify right side
    881.71x = 686,149.44
  5. Step 5: Solve for x
    x = 686,149.44/881.71
  6. Step 6: Final answer
    x = 778.21

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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.