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Finding the Fourth Proportional to 817.32, 1,224.78 and 644.41

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Solution

The fourth proportional to 817.32, 1,224.78 and 644.41 is: 965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.32 : 1,224.78 = 644.41 : x
  2. Step 2: Convert to fraction form
    817.32/1,224.78 = 644.41/x
  3. Step 3: Cross multiply
    817.32x = 1,224.78 × 644.41
  4. Step 4: Simplify right side
    817.32x = 789,260.48
  5. Step 5: Solve for x
    x = 789,260.48/817.32
  6. Step 6: Final answer
    x = 965.67

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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.