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Finding the Fourth Proportional to 538.96, 748.42 and 534.64

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Solution

The fourth proportional to 538.96, 748.42 and 534.64 is: 742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.96 : 748.42 = 534.64 : x
  2. Step 2: Convert to fraction form
    538.96/748.42 = 534.64/x
  3. Step 3: Cross multiply
    538.96x = 748.42 × 534.64
  4. Step 4: Simplify right side
    538.96x = 400,135.27
  5. Step 5: Solve for x
    x = 400,135.27/538.96
  6. Step 6: Final answer
    x = 742.42

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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.