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Finding the Fourth Proportional to 1,093.56, 1,640.38 and 444.28

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Solution

The fourth proportional to 1,093.56, 1,640.38 and 444.28 is: 666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.56 : 1,640.38 = 444.28 : x
  2. Step 2: Convert to fraction form
    1,093.56/1,640.38 = 444.28/x
  3. Step 3: Cross multiply
    1,093.56x = 1,640.38 × 444.28
  4. Step 4: Simplify right side
    1,093.56x = 728,788.03
  5. Step 5: Solve for x
    x = 728,788.03/1,093.56
  6. Step 6: Final answer
    x = 666.44

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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.