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Finding the Fourth Proportional to 881.68, 1,214.94 and 878.26

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Solution

The fourth proportional to 881.68, 1,214.94 and 878.26 is: 1,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.68 : 1,214.94 = 878.26 : x
  2. Step 2: Convert to fraction form
    881.68/1,214.94 = 878.26/x
  3. Step 3: Cross multiply
    881.68x = 1,214.94 × 878.26
  4. Step 4: Simplify right side
    881.68x = 1,067,033.20
  5. Step 5: Solve for x
    x = 1,067,033.20/881.68
  6. Step 6: Final answer
    x = 1,210.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.