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Finding the Fourth Proportional to 800.68, 1,201.02 and 223.58

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Solution

The fourth proportional to 800.68, 1,201.02 and 223.58 is: 335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.68 : 1,201.02 = 223.58 : x
  2. Step 2: Convert to fraction form
    800.68/1,201.02 = 223.58/x
  3. Step 3: Cross multiply
    800.68x = 1,201.02 × 223.58
  4. Step 4: Simplify right side
    800.68x = 268,524.05
  5. Step 5: Solve for x
    x = 268,524.05/800.68
  6. Step 6: Final answer
    x = 335.37

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Similar ratio
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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.