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Finding the Fourth Proportional to 1,201.06, 1,800.51 and 622.18

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Solution

The fourth proportional to 1,201.06, 1,800.51 and 622.18 is: 932.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.06 : 1,800.51 = 622.18 : x
  2. Step 2: Convert to fraction form
    1,201.06/1,800.51 = 622.18/x
  3. Step 3: Cross multiply
    1,201.06x = 1,800.51 × 622.18
  4. Step 4: Simplify right side
    1,201.06x = 1,120,241.31
  5. Step 5: Solve for x
    x = 1,120,241.31/1,201.06
  6. Step 6: Final answer
    x = 932.71

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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.