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Finding the Fourth Proportional to 2,287.87, 3,431.49 and 644.54

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Solution

The fourth proportional to 2,287.87, 3,431.49 and 644.54 is: 966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.87 : 3,431.49 = 644.54 : x
  2. Step 2: Convert to fraction form
    2,287.87/3,431.49 = 644.54/x
  3. Step 3: Cross multiply
    2,287.87x = 3,431.49 × 644.54
  4. Step 4: Simplify right side
    2,287.87x = 2,211,736.82
  5. Step 5: Solve for x
    x = 2,211,736.82/2,287.87
  6. Step 6: Final answer
    x = 966.72

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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.