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Finding the Fourth Proportional to 538.62, 808.77 and 344.22

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Solution

The fourth proportional to 538.62, 808.77 and 344.22 is: 516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.62 : 808.77 = 344.22 : x
  2. Step 2: Convert to fraction form
    538.62/808.77 = 344.22/x
  3. Step 3: Cross multiply
    538.62x = 808.77 × 344.22
  4. Step 4: Simplify right side
    538.62x = 278,394.81
  5. Step 5: Solve for x
    x = 278,394.81/538.62
  6. Step 6: Final answer
    x = 516.87

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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.