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Finding the Fourth Proportional to 801.02, 1,201.48 and 245.73

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Solution

The fourth proportional to 801.02, 1,201.48 and 245.73 is: 368.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.02 : 1,201.48 = 245.73 : x
  2. Step 2: Convert to fraction form
    801.02/1,201.48 = 245.73/x
  3. Step 3: Cross multiply
    801.02x = 1,201.48 × 245.73
  4. Step 4: Simplify right side
    801.02x = 295,234.29
  5. Step 5: Solve for x
    x = 295,234.29/801.02
  6. Step 6: Final answer
    x = 368.57

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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.