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Finding the Fourth Proportional to 2,201.49, 3,302.19 and 558

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Solution

The fourth proportional to 2,201.49, 3,302.19 and 558 is: 836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.49 : 3,302.19 = 558 : x
  2. Step 2: Convert to fraction form
    2,201.49/3,302.19 = 558/x
  3. Step 3: Cross multiply
    2,201.49x = 3,302.19 × 558
  4. Step 4: Simplify right side
    2,201.49x = 1,842,622.02
  5. Step 5: Solve for x
    x = 1,842,622.02/2,201.49
  6. Step 6: Final answer
    x = 836.99

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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.