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Finding the Fourth Proportional to 503.38, 694.86 and 379.24

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Solution

The fourth proportional to 503.38, 694.86 and 379.24 is: 523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.38 : 694.86 = 379.24 : x
  2. Step 2: Convert to fraction form
    503.38/694.86 = 379.24/x
  3. Step 3: Cross multiply
    503.38x = 694.86 × 379.24
  4. Step 4: Simplify right side
    503.38x = 263,518.71
  5. Step 5: Solve for x
    x = 263,518.71/503.38
  6. Step 6: Final answer
    x = 523.50

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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.