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Finding the Fourth Proportional to 878.05, 1,210.90 and 808.25

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Solution

The fourth proportional to 878.05, 1,210.90 and 808.25 is: 1,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.05 : 1,210.90 = 808.25 : x
  2. Step 2: Convert to fraction form
    878.05/1,210.90 = 808.25/x
  3. Step 3: Cross multiply
    878.05x = 1,210.90 × 808.25
  4. Step 4: Simplify right side
    878.05x = 978,705.88
  5. Step 5: Solve for x
    x = 978,705.88/878.05
  6. Step 6: Final answer
    x = 1,114.64

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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.