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Finding the Fourth Proportional to 1,256.26, 1,884.24 and 640.42

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Solution

The fourth proportional to 1,256.26, 1,884.24 and 640.42 is: 960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.26 : 1,884.24 = 640.42 : x
  2. Step 2: Convert to fraction form
    1,256.26/1,884.24 = 640.42/x
  3. Step 3: Cross multiply
    1,256.26x = 1,884.24 × 640.42
  4. Step 4: Simplify right side
    1,256.26x = 1,206,704.98
  5. Step 5: Solve for x
    x = 1,206,704.98/1,256.26
  6. Step 6: Final answer
    x = 960.55

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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.