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Finding the Fourth Proportional to 881.88, 1,216.54 and 819.34

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Solution

The fourth proportional to 881.88, 1,216.54 and 819.34 is: 1,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.88 : 1,216.54 = 819.34 : x
  2. Step 2: Convert to fraction form
    881.88/1,216.54 = 819.34/x
  3. Step 3: Cross multiply
    881.88x = 1,216.54 × 819.34
  4. Step 4: Simplify right side
    881.88x = 996,759.88
  5. Step 5: Solve for x
    x = 996,759.88/881.88
  6. Step 6: Final answer
    x = 1,130.27

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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.