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Finding the Fourth Proportional to 503.50, 693.88 and 363.37

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Solution

The fourth proportional to 503.50, 693.88 and 363.37 is: 500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.50 : 693.88 = 363.37 : x
  2. Step 2: Convert to fraction form
    503.50/693.88 = 363.37/x
  3. Step 3: Cross multiply
    503.50x = 693.88 × 363.37
  4. Step 4: Simplify right side
    503.50x = 252,135.18
  5. Step 5: Solve for x
    x = 252,135.18/503.50
  6. Step 6: Final answer
    x = 500.76

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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.