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Finding the Fourth Proportional to 503.50, 694.50 and 363.96

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Solution

The fourth proportional to 503.50, 694.50 and 363.96 is: 502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.50 : 694.50 = 363.96 : x
  2. Step 2: Convert to fraction form
    503.50/694.50 = 363.96/x
  3. Step 3: Cross multiply
    503.50x = 694.50 × 363.96
  4. Step 4: Simplify right side
    503.50x = 252,770.22
  5. Step 5: Solve for x
    x = 252,770.22/503.50
  6. Step 6: Final answer
    x = 502.03

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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.