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Finding the Fourth Proportional to 1,664.73, 2,496.96 and 739.44

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Solution

The fourth proportional to 1,664.73, 2,496.96 and 739.44 is: 1,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.73 : 2,496.96 = 739.44 : x
  2. Step 2: Convert to fraction form
    1,664.73/2,496.96 = 739.44/x
  3. Step 3: Cross multiply
    1,664.73x = 2,496.96 × 739.44
  4. Step 4: Simplify right side
    1,664.73x = 1,846,352.10
  5. Step 5: Solve for x
    x = 1,846,352.10/1,664.73
  6. Step 6: Final answer
    x = 1,109.10

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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.