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Finding the Fourth Proportional to 537.53, 804.84 and 280.49

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Solution

The fourth proportional to 537.53, 804.84 and 280.49 is: 419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.53 : 804.84 = 280.49 : x
  2. Step 2: Convert to fraction form
    537.53/804.84 = 280.49/x
  3. Step 3: Cross multiply
    537.53x = 804.84 × 280.49
  4. Step 4: Simplify right side
    537.53x = 225,745.55
  5. Step 5: Solve for x
    x = 225,745.55/537.53
  6. Step 6: Final answer
    x = 419.97

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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.