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Finding the Fourth Proportional to 800.52, 1,201.20 and 415.80

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Solution

The fourth proportional to 800.52, 1,201.20 and 415.80 is: 623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.52 : 1,201.20 = 415.80 : x
  2. Step 2: Convert to fraction form
    800.52/1,201.20 = 415.80/x
  3. Step 3: Cross multiply
    800.52x = 1,201.20 × 415.80
  4. Step 4: Simplify right side
    800.52x = 499,458.96
  5. Step 5: Solve for x
    x = 499,458.96/800.52
  6. Step 6: Final answer
    x = 623.92

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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.