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Finding the Fourth Proportional to 645.10, 963.73 and 412.14

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Solution

The fourth proportional to 645.10, 963.73 and 412.14 is: 615.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.10 : 963.73 = 412.14 : x
  2. Step 2: Convert to fraction form
    645.10/963.73 = 412.14/x
  3. Step 3: Cross multiply
    645.10x = 963.73 × 412.14
  4. Step 4: Simplify right side
    645.10x = 397,191.68
  5. Step 5: Solve for x
    x = 397,191.68/645.10
  6. Step 6: Final answer
    x = 615.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.