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Finding the Fourth Proportional to 503.57, 694.98 and 338.13

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Solution

The fourth proportional to 503.57, 694.98 and 338.13 is: 466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.57 : 694.98 = 338.13 : x
  2. Step 2: Convert to fraction form
    503.57/694.98 = 338.13/x
  3. Step 3: Cross multiply
    503.57x = 694.98 × 338.13
  4. Step 4: Simplify right side
    503.57x = 234,993.59
  5. Step 5: Solve for x
    x = 234,993.59/503.57
  6. Step 6: Final answer
    x = 466.65

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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.