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Finding the Fourth Proportional to 537.18, 804.57 and 331.12

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Solution

The fourth proportional to 537.18, 804.57 and 331.12 is: 495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.18 : 804.57 = 331.12 : x
  2. Step 2: Convert to fraction form
    537.18/804.57 = 331.12/x
  3. Step 3: Cross multiply
    537.18x = 804.57 × 331.12
  4. Step 4: Simplify right side
    537.18x = 266,409.22
  5. Step 5: Solve for x
    x = 266,409.22/537.18
  6. Step 6: Final answer
    x = 495.94

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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.