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Finding the Fourth Proportional to 503.62, 694.68 and 363.89

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Solution

The fourth proportional to 503.62, 694.68 and 363.89 is: 501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.62 : 694.68 = 363.89 : x
  2. Step 2: Convert to fraction form
    503.62/694.68 = 363.89/x
  3. Step 3: Cross multiply
    503.62x = 694.68 × 363.89
  4. Step 4: Simplify right side
    503.62x = 252,787.48
  5. Step 5: Solve for x
    x = 252,787.48/503.62
  6. Step 6: Final answer
    x = 501.94

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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.