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Finding the Fourth Proportional to 1,093, 1,638.59 and 444.19

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Solution

The fourth proportional to 1,093, 1,638.59 and 444.19 is: 665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093 : 1,638.59 = 444.19 : x
  2. Step 2: Convert to fraction form
    1,093/1,638.59 = 444.19/x
  3. Step 3: Cross multiply
    1,093x = 1,638.59 × 444.19
  4. Step 4: Simplify right side
    1,093x = 727,845.29
  5. Step 5: Solve for x
    x = 727,845.29/1,093
  6. Step 6: Final answer
    x = 665.92

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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.