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Finding the Fourth Proportional to 645.94, 968.70 and 321.22

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Solution

The fourth proportional to 645.94, 968.70 and 321.22 is: 481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.94 : 968.70 = 321.22 : x
  2. Step 2: Convert to fraction form
    645.94/968.70 = 321.22/x
  3. Step 3: Cross multiply
    645.94x = 968.70 × 321.22
  4. Step 4: Simplify right side
    645.94x = 311,165.81
  5. Step 5: Solve for x
    x = 311,165.81/645.94
  6. Step 6: Final answer
    x = 481.73

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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.