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Finding the Fourth Proportional to 645.83, 969.05 and 321.23

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Solution

The fourth proportional to 645.83, 969.05 and 321.23 is: 481.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.83 : 969.05 = 321.23 : x
  2. Step 2: Convert to fraction form
    645.83/969.05 = 321.23/x
  3. Step 3: Cross multiply
    645.83x = 969.05 × 321.23
  4. Step 4: Simplify right side
    645.83x = 311,286.33
  5. Step 5: Solve for x
    x = 311,286.33/645.83
  6. Step 6: Final answer
    x = 481.99

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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.