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Finding the Fourth Proportional to 538.85, 743.02 and 363.89

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Solution

The fourth proportional to 538.85, 743.02 and 363.89 is: 501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.85 : 743.02 = 363.89 : x
  2. Step 2: Convert to fraction form
    538.85/743.02 = 363.89/x
  3. Step 3: Cross multiply
    538.85x = 743.02 × 363.89
  4. Step 4: Simplify right side
    538.85x = 270,372.92
  5. Step 5: Solve for x
    x = 270,372.92/538.85
  6. Step 6: Final answer
    x = 501.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.