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Finding the Fourth Proportional to 1,960.08, 2,940.21 and 499.24

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Solution

The fourth proportional to 1,960.08, 2,940.21 and 499.24 is: 748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.08 : 2,940.21 = 499.24 : x
  2. Step 2: Convert to fraction form
    1,960.08/2,940.21 = 499.24/x
  3. Step 3: Cross multiply
    1,960.08x = 2,940.21 × 499.24
  4. Step 4: Simplify right side
    1,960.08x = 1,467,870.44
  5. Step 5: Solve for x
    x = 1,467,870.44/1,960.08
  6. Step 6: Final answer
    x = 748.88

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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.