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Finding the Fourth Proportional to 645.63, 968.28 and 206.79

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Solution

The fourth proportional to 645.63, 968.28 and 206.79 is: 310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.63 : 968.28 = 206.79 : x
  2. Step 2: Convert to fraction form
    645.63/968.28 = 206.79/x
  3. Step 3: Cross multiply
    645.63x = 968.28 × 206.79
  4. Step 4: Simplify right side
    645.63x = 200,230.62
  5. Step 5: Solve for x
    x = 200,230.62/645.63
  6. Step 6: Final answer
    x = 310.13

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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.