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Finding the Fourth Proportional to 1,212.52, 1,819.02 and 908.02

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Solution

The fourth proportional to 1,212.52, 1,819.02 and 908.02 is: 1,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.52 : 1,819.02 = 908.02 : x
  2. Step 2: Convert to fraction form
    1,212.52/1,819.02 = 908.02/x
  3. Step 3: Cross multiply
    1,212.52x = 1,819.02 × 908.02
  4. Step 4: Simplify right side
    1,212.52x = 1,651,706.54
  5. Step 5: Solve for x
    x = 1,651,706.54/1,212.52
  6. Step 6: Final answer
    x = 1,362.21

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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.