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Finding the Fourth Proportional to 878, 1,210.12 and 808.24

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Solution

The fourth proportional to 878, 1,210.12 and 808.24 is: 1,113.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    878 : 1,210.12 = 808.24 : x
  2. Step 2: Convert to fraction form
    878/1,210.12 = 808.24/x
  3. Step 3: Cross multiply
    878x = 1,210.12 × 808.24
  4. Step 4: Simplify right side
    878x = 978,067.39
  5. Step 5: Solve for x
    x = 978,067.39/878
  6. Step 6: Final answer
    x = 1,113.97

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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.