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Finding the Fourth Proportional to 536.05, 743.53 and 521.83

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Solution

The fourth proportional to 536.05, 743.53 and 521.83 is: 723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.05 : 743.53 = 521.83 : x
  2. Step 2: Convert to fraction form
    536.05/743.53 = 521.83/x
  3. Step 3: Cross multiply
    536.05x = 743.53 × 521.83
  4. Step 4: Simplify right side
    536.05x = 387,996.26
  5. Step 5: Solve for x
    x = 387,996.26/536.05
  6. Step 6: Final answer
    x = 723.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.