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Finding the Fourth Proportional to 503.31, 694.53 and 306.80

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Solution

The fourth proportional to 503.31, 694.53 and 306.80 is: 423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.31 : 694.53 = 306.80 : x
  2. Step 2: Convert to fraction form
    503.31/694.53 = 306.80/x
  3. Step 3: Cross multiply
    503.31x = 694.53 × 306.80
  4. Step 4: Simplify right side
    503.31x = 213,078.33
  5. Step 5: Solve for x
    x = 213,078.33/503.31
  6. Step 6: Final answer
    x = 423.35

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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.