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Finding the Fourth Proportional to 536.43, 739.48 and 378.55

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Solution

The fourth proportional to 536.43, 739.48 and 378.55 is: 521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.43 : 739.48 = 378.55 : x
  2. Step 2: Convert to fraction form
    536.43/739.48 = 378.55/x
  3. Step 3: Cross multiply
    536.43x = 739.48 × 378.55
  4. Step 4: Simplify right side
    536.43x = 279,924.56
  5. Step 5: Solve for x
    x = 279,924.56/536.43
  6. Step 6: Final answer
    x = 521.83

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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.