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Finding the Fourth Proportional to 2,371.96, 3,558.03 and 640.63

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Solution

The fourth proportional to 2,371.96, 3,558.03 and 640.63 is: 960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.96 : 3,558.03 = 640.63 : x
  2. Step 2: Convert to fraction form
    2,371.96/3,558.03 = 640.63/x
  3. Step 3: Cross multiply
    2,371.96x = 3,558.03 × 640.63
  4. Step 4: Simplify right side
    2,371.96x = 2,279,380.76
  5. Step 5: Solve for x
    x = 2,279,380.76/2,371.96
  6. Step 6: Final answer
    x = 960.97

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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.