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Finding the Fourth Proportional to 878.90, 1,213.08 and 547.58

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Solution

The fourth proportional to 878.90, 1,213.08 and 547.58 is: 755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.90 : 1,213.08 = 547.58 : x
  2. Step 2: Convert to fraction form
    878.90/1,213.08 = 547.58/x
  3. Step 3: Cross multiply
    878.90x = 1,213.08 × 547.58
  4. Step 4: Simplify right side
    878.90x = 664,258.35
  5. Step 5: Solve for x
    x = 664,258.35/878.90
  6. Step 6: Final answer
    x = 755.78

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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.