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Finding the Fourth Proportional to 503.34, 694.38 and 337.38

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Solution

The fourth proportional to 503.34, 694.38 and 337.38 is: 465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 694.38 = 337.38 : x
  2. Step 2: Convert to fraction form
    503.34/694.38 = 337.38/x
  3. Step 3: Cross multiply
    503.34x = 694.38 × 337.38
  4. Step 4: Simplify right side
    503.34x = 234,269.92
  5. Step 5: Solve for x
    x = 234,269.92/503.34
  6. Step 6: Final answer
    x = 465.43

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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.