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Finding the Fourth Proportional to 2,399.90, 3,599.84 and 644.96

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Solution

The fourth proportional to 2,399.90, 3,599.84 and 644.96 is: 967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.90 : 3,599.84 = 644.96 : x
  2. Step 2: Convert to fraction form
    2,399.90/3,599.84 = 644.96/x
  3. Step 3: Cross multiply
    2,399.90x = 3,599.84 × 644.96
  4. Step 4: Simplify right side
    2,399.90x = 2,321,763.42
  5. Step 5: Solve for x
    x = 2,321,763.42/2,399.90
  6. Step 6: Final answer
    x = 967.44

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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.