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Finding the Fourth Proportional to 847.88, 1,272 and 270.80

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Solution

The fourth proportional to 847.88, 1,272 and 270.80 is: 406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.88 : 1,272 = 270.80 : x
  2. Step 2: Convert to fraction form
    847.88/1,272 = 270.80/x
  3. Step 3: Cross multiply
    847.88x = 1,272 × 270.80
  4. Step 4: Simplify right side
    847.88x = 344,457.60
  5. Step 5: Solve for x
    x = 344,457.60/847.88
  6. Step 6: Final answer
    x = 406.26

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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.