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Finding the Fourth Proportional to 1,084.82, 1,627.39 and 354.22

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Solution

The fourth proportional to 1,084.82, 1,627.39 and 354.22 is: 531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.82 : 1,627.39 = 354.22 : x
  2. Step 2: Convert to fraction form
    1,084.82/1,627.39 = 354.22/x
  3. Step 3: Cross multiply
    1,084.82x = 1,627.39 × 354.22
  4. Step 4: Simplify right side
    1,084.82x = 576,454.09
  5. Step 5: Solve for x
    x = 576,454.09/1,084.82
  6. Step 6: Final answer
    x = 531.38

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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.