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Finding the Fourth Proportional to 543.31, 754.81 and 536.83

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Solution

The fourth proportional to 543.31, 754.81 and 536.83 is: 745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.31 : 754.81 = 536.83 : x
  2. Step 2: Convert to fraction form
    543.31/754.81 = 536.83/x
  3. Step 3: Cross multiply
    543.31x = 754.81 × 536.83
  4. Step 4: Simplify right side
    543.31x = 405,201.42
  5. Step 5: Solve for x
    x = 405,201.42/543.31
  6. Step 6: Final answer
    x = 745.80

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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.