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Finding the Fourth Proportional to 800.35, 1,201.20 and 794.27

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Solution

The fourth proportional to 800.35, 1,201.20 and 794.27 is: 1,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.35 : 1,201.20 = 794.27 : x
  2. Step 2: Convert to fraction form
    800.35/1,201.20 = 794.27/x
  3. Step 3: Cross multiply
    800.35x = 1,201.20 × 794.27
  4. Step 4: Simplify right side
    800.35x = 954,077.15
  5. Step 5: Solve for x
    x = 954,077.15/800.35
  6. Step 6: Final answer
    x = 1,192.08

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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.