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Finding the Fourth Proportional to 535.87, 739.97 and 361.72

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Solution

The fourth proportional to 535.87, 739.97 and 361.72 is: 499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.87 : 739.97 = 361.72 : x
  2. Step 2: Convert to fraction form
    535.87/739.97 = 361.72/x
  3. Step 3: Cross multiply
    535.87x = 739.97 × 361.72
  4. Step 4: Simplify right side
    535.87x = 267,661.95
  5. Step 5: Solve for x
    x = 267,661.95/535.87
  6. Step 6: Final answer
    x = 499.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.