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Finding the Fourth Proportional to 800.59, 1,200.90 and 223.48

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Solution

The fourth proportional to 800.59, 1,200.90 and 223.48 is: 335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.59 : 1,200.90 = 223.48 : x
  2. Step 2: Convert to fraction form
    800.59/1,200.90 = 223.48/x
  3. Step 3: Cross multiply
    800.59x = 1,200.90 × 223.48
  4. Step 4: Simplify right side
    800.59x = 268,377.13
  5. Step 5: Solve for x
    x = 268,377.13/800.59
  6. Step 6: Final answer
    x = 335.22

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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.