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Finding the Fourth Proportional to 1,584, 2,375.60 and 660.41

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Solution

The fourth proportional to 1,584, 2,375.60 and 660.41 is: 990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584 : 2,375.60 = 660.41 : x
  2. Step 2: Convert to fraction form
    1,584/2,375.60 = 660.41/x
  3. Step 3: Cross multiply
    1,584x = 2,375.60 × 660.41
  4. Step 4: Simplify right side
    1,584x = 1,568,854.82
  5. Step 5: Solve for x
    x = 1,568,854.82/1,584
  6. Step 6: Final answer
    x = 990.44

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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.