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Finding the Fourth Proportional to 878.44, 1,208.66 and 805.54

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Solution

The fourth proportional to 878.44, 1,208.66 and 805.54 is: 1,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.44 : 1,208.66 = 805.54 : x
  2. Step 2: Convert to fraction form
    878.44/1,208.66 = 805.54/x
  3. Step 3: Cross multiply
    878.44x = 1,208.66 × 805.54
  4. Step 4: Simplify right side
    878.44x = 973,622.97
  5. Step 5: Solve for x
    x = 973,622.97/878.44
  6. Step 6: Final answer
    x = 1,108.36

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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.