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Finding the Fourth Proportional to 2,371.80, 3,557.70 and 640.43

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Solution

The fourth proportional to 2,371.80, 3,557.70 and 640.43 is: 960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.80 : 3,557.70 = 640.43 : x
  2. Step 2: Convert to fraction form
    2,371.80/3,557.70 = 640.43/x
  3. Step 3: Cross multiply
    2,371.80x = 3,557.70 × 640.43
  4. Step 4: Simplify right side
    2,371.80x = 2,278,457.81
  5. Step 5: Solve for x
    x = 2,278,457.81/2,371.80
  6. Step 6: Final answer
    x = 960.65

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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.