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Finding the Fourth Proportional to 544.73, 817.29 and 270.84

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Solution

The fourth proportional to 544.73, 817.29 and 270.84 is: 406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.73 : 817.29 = 270.84 : x
  2. Step 2: Convert to fraction form
    544.73/817.29 = 270.84/x
  3. Step 3: Cross multiply
    544.73x = 817.29 × 270.84
  4. Step 4: Simplify right side
    544.73x = 221,357.89
  5. Step 5: Solve for x
    x = 221,357.89/544.73
  6. Step 6: Final answer
    x = 406.37

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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.