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Finding the Fourth Proportional to 868.64, 1,303.11 and 321.21

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Solution

The fourth proportional to 868.64, 1,303.11 and 321.21 is: 481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.64 : 1,303.11 = 321.21 : x
  2. Step 2: Convert to fraction form
    868.64/1,303.11 = 321.21/x
  3. Step 3: Cross multiply
    868.64x = 1,303.11 × 321.21
  4. Step 4: Simplify right side
    868.64x = 418,571.96
  5. Step 5: Solve for x
    x = 418,571.96/868.64
  6. Step 6: Final answer
    x = 481.87

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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.