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Finding the Fourth Proportional to 1,201.63, 1,800.62 and 892.03

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Solution

The fourth proportional to 1,201.63, 1,800.62 and 892.03 is: 1,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.63 : 1,800.62 = 892.03 : x
  2. Step 2: Convert to fraction form
    1,201.63/1,800.62 = 892.03/x
  3. Step 3: Cross multiply
    1,201.63x = 1,800.62 × 892.03
  4. Step 4: Simplify right side
    1,201.63x = 1,606,212.39
  5. Step 5: Solve for x
    x = 1,606,212.39/1,201.63
  6. Step 6: Final answer
    x = 1,336.70

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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.