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Finding the Fourth Proportional to 878.97, 1,215.64 and 785.55

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Solution

The fourth proportional to 878.97, 1,215.64 and 785.55 is: 1,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.97 : 1,215.64 = 785.55 : x
  2. Step 2: Convert to fraction form
    878.97/1,215.64 = 785.55/x
  3. Step 3: Cross multiply
    878.97x = 1,215.64 × 785.55
  4. Step 4: Simplify right side
    878.97x = 954,951.54
  5. Step 5: Solve for x
    x = 954,951.54/878.97
  6. Step 6: Final answer
    x = 1,086.44

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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.