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Finding the Fourth Proportional to 2,201.34, 3,301.73 and 557.75

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Solution

The fourth proportional to 2,201.34, 3,301.73 and 557.75 is: 836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.34 : 3,301.73 = 557.75 : x
  2. Step 2: Convert to fraction form
    2,201.34/3,301.73 = 557.75/x
  3. Step 3: Cross multiply
    2,201.34x = 3,301.73 × 557.75
  4. Step 4: Simplify right side
    2,201.34x = 1,841,547.46
  5. Step 5: Solve for x
    x = 1,841,547.46/2,201.34
  6. Step 6: Final answer
    x = 836.56

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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.