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Finding the Fourth Proportional to 808.14, 1,211.67 and 548.13

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Solution

The fourth proportional to 808.14, 1,211.67 and 548.13 is: 821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.14 : 1,211.67 = 548.13 : x
  2. Step 2: Convert to fraction form
    808.14/1,211.67 = 548.13/x
  3. Step 3: Cross multiply
    808.14x = 1,211.67 × 548.13
  4. Step 4: Simplify right side
    808.14x = 664,152.68
  5. Step 5: Solve for x
    x = 664,152.68/808.14
  6. Step 6: Final answer
    x = 821.83

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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.