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Finding the Fourth Proportional to 2,201.01, 3,301.52 and 557.43

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Solution

The fourth proportional to 2,201.01, 3,301.52 and 557.43 is: 836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.01 : 3,301.52 = 557.43 : x
  2. Step 2: Convert to fraction form
    2,201.01/3,301.52 = 557.43/x
  3. Step 3: Cross multiply
    2,201.01x = 3,301.52 × 557.43
  4. Step 4: Simplify right side
    2,201.01x = 1,840,359.64
  5. Step 5: Solve for x
    x = 1,840,359.64/2,201.01
  6. Step 6: Final answer
    x = 836.14

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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.