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Finding the Fourth Proportional to 536.29, 739.79 and 361.69

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Solution

The fourth proportional to 536.29, 739.79 and 361.69 is: 498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.29 : 739.79 = 361.69 : x
  2. Step 2: Convert to fraction form
    536.29/739.79 = 361.69/x
  3. Step 3: Cross multiply
    536.29x = 739.79 × 361.69
  4. Step 4: Simplify right side
    536.29x = 267,570.95
  5. Step 5: Solve for x
    x = 267,570.95/536.29
  6. Step 6: Final answer
    x = 498.93

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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.