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Finding the Fourth Proportional to 2,283.21, 3,424.92 and 639.87

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Solution

The fourth proportional to 2,283.21, 3,424.92 and 639.87 is: 959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.21 : 3,424.92 = 639.87 : x
  2. Step 2: Convert to fraction form
    2,283.21/3,424.92 = 639.87/x
  3. Step 3: Cross multiply
    2,283.21x = 3,424.92 × 639.87
  4. Step 4: Simplify right side
    2,283.21x = 2,191,503.56
  5. Step 5: Solve for x
    x = 2,191,503.56/2,283.21
  6. Step 6: Final answer
    x = 959.83

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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.