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Finding the Fourth Proportional to 936.68, 1,290.90 and 878.22

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Solution

The fourth proportional to 936.68, 1,290.90 and 878.22 is: 1,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.68 : 1,290.90 = 878.22 : x
  2. Step 2: Convert to fraction form
    936.68/1,290.90 = 878.22/x
  3. Step 3: Cross multiply
    936.68x = 1,290.90 × 878.22
  4. Step 4: Simplify right side
    936.68x = 1,133,694.20
  5. Step 5: Solve for x
    x = 1,133,694.20/936.68
  6. Step 6: Final answer
    x = 1,210.33

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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.