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Finding the Fourth Proportional to 544.41, 814.17 and 537.73

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Solution

The fourth proportional to 544.41, 814.17 and 537.73 is: 804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.41 : 814.17 = 537.73 : x
  2. Step 2: Convert to fraction form
    544.41/814.17 = 537.73/x
  3. Step 3: Cross multiply
    544.41x = 814.17 × 537.73
  4. Step 4: Simplify right side
    544.41x = 437,803.63
  5. Step 5: Solve for x
    x = 437,803.63/544.41
  6. Step 6: Final answer
    x = 804.18

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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.