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Finding the Fourth Proportional to 1,085.11, 1,627.50 and 354.68

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Solution

The fourth proportional to 1,085.11, 1,627.50 and 354.68 is: 531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.11 : 1,627.50 = 354.68 : x
  2. Step 2: Convert to fraction form
    1,085.11/1,627.50 = 354.68/x
  3. Step 3: Cross multiply
    1,085.11x = 1,627.50 × 354.68
  4. Step 4: Simplify right side
    1,085.11x = 577,241.70
  5. Step 5: Solve for x
    x = 577,241.70/1,085.11
  6. Step 6: Final answer
    x = 531.97

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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.