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Finding the Fourth Proportional to 1,620.57, 2,431.52 and 743.49

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Solution

The fourth proportional to 1,620.57, 2,431.52 and 743.49 is: 1,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.57 : 2,431.52 = 743.49 : x
  2. Step 2: Convert to fraction form
    1,620.57/2,431.52 = 743.49/x
  3. Step 3: Cross multiply
    1,620.57x = 2,431.52 × 743.49
  4. Step 4: Simplify right side
    1,620.57x = 1,807,807.09
  5. Step 5: Solve for x
    x = 1,807,807.09/1,620.57
  6. Step 6: Final answer
    x = 1,115.54

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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.