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Finding the Fourth Proportional to 1,209.06, 1,812.87 and 819.54

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Solution

The fourth proportional to 1,209.06, 1,812.87 and 819.54 is: 1,228.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.06 : 1,812.87 = 819.54 : x
  2. Step 2: Convert to fraction form
    1,209.06/1,812.87 = 819.54/x
  3. Step 3: Cross multiply
    1,209.06x = 1,812.87 × 819.54
  4. Step 4: Simplify right side
    1,209.06x = 1,485,719.48
  5. Step 5: Solve for x
    x = 1,485,719.48/1,209.06
  6. Step 6: Final answer
    x = 1,228.82

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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.