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Finding the Fourth Proportional to 536.20, 803.42 and 516.22

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Solution

The fourth proportional to 536.20, 803.42 and 516.22 is: 773.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.20 : 803.42 = 516.22 : x
  2. Step 2: Convert to fraction form
    536.20/803.42 = 516.22/x
  3. Step 3: Cross multiply
    536.20x = 803.42 × 516.22
  4. Step 4: Simplify right side
    536.20x = 414,741.47
  5. Step 5: Solve for x
    x = 414,741.47/536.20
  6. Step 6: Final answer
    x = 773.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.