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Finding the Fourth Proportional to 847.95, 1,272.11 and 270.82

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Solution

The fourth proportional to 847.95, 1,272.11 and 270.82 is: 406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.95 : 1,272.11 = 270.82 : x
  2. Step 2: Convert to fraction form
    847.95/1,272.11 = 270.82/x
  3. Step 3: Cross multiply
    847.95x = 1,272.11 × 270.82
  4. Step 4: Simplify right side
    847.95x = 344,512.83
  5. Step 5: Solve for x
    x = 344,512.83/847.95
  6. Step 6: Final answer
    x = 406.29

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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.