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Finding the Fourth Proportional to 1,283.24, 1,921.22 and 819.87

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Solution

The fourth proportional to 1,283.24, 1,921.22 and 819.87 is: 1,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.24 : 1,921.22 = 819.87 : x
  2. Step 2: Convert to fraction form
    1,283.24/1,921.22 = 819.87/x
  3. Step 3: Cross multiply
    1,283.24x = 1,921.22 × 819.87
  4. Step 4: Simplify right side
    1,283.24x = 1,575,153.22
  5. Step 5: Solve for x
    x = 1,575,153.22/1,283.24
  6. Step 6: Final answer
    x = 1,227.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.