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Finding the Fourth Proportional to 816.21, 1,222.83 and 622.49

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Solution

The fourth proportional to 816.21, 1,222.83 and 622.49 is: 932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.21 : 1,222.83 = 622.49 : x
  2. Step 2: Convert to fraction form
    816.21/1,222.83 = 622.49/x
  3. Step 3: Cross multiply
    816.21x = 1,222.83 × 622.49
  4. Step 4: Simplify right side
    816.21x = 761,193.33
  5. Step 5: Solve for x
    x = 761,193.33/816.21
  6. Step 6: Final answer
    x = 932.59

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Double scale
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1.5x scale

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.