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Finding the Fourth Proportional to 1,609.92, 2,415.04 and 744.48

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Solution

The fourth proportional to 1,609.92, 2,415.04 and 744.48 is: 1,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.92 : 2,415.04 = 744.48 : x
  2. Step 2: Convert to fraction form
    1,609.92/2,415.04 = 744.48/x
  3. Step 3: Cross multiply
    1,609.92x = 2,415.04 × 744.48
  4. Step 4: Simplify right side
    1,609.92x = 1,797,948.98
  5. Step 5: Solve for x
    x = 1,797,948.98/1,609.92
  6. Step 6: Final answer
    x = 1,116.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.