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Finding the Fourth Proportional to 801.75, 1,201.95 and 315.15

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Solution

The fourth proportional to 801.75, 1,201.95 and 315.15 is: 472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.75 : 1,201.95 = 315.15 : x
  2. Step 2: Convert to fraction form
    801.75/1,201.95 = 315.15/x
  3. Step 3: Cross multiply
    801.75x = 1,201.95 × 315.15
  4. Step 4: Simplify right side
    801.75x = 378,794.54
  5. Step 5: Solve for x
    x = 378,794.54/801.75
  6. Step 6: Final answer
    x = 472.46

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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.