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Finding the Fourth Proportional to 503.11, 694.05 and 355.82

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Solution

The fourth proportional to 503.11, 694.05 and 355.82 is: 490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.11 : 694.05 = 355.82 : x
  2. Step 2: Convert to fraction form
    503.11/694.05 = 355.82/x
  3. Step 3: Cross multiply
    503.11x = 694.05 × 355.82
  4. Step 4: Simplify right side
    503.11x = 246,961.58
  5. Step 5: Solve for x
    x = 246,961.58/503.11
  6. Step 6: Final answer
    x = 490.87

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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.