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Finding the Fourth Proportional to 502.94, 694.06 and 306.42

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Solution

The fourth proportional to 502.94, 694.06 and 306.42 is: 422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.94 : 694.06 = 306.42 : x
  2. Step 2: Convert to fraction form
    502.94/694.06 = 306.42/x
  3. Step 3: Cross multiply
    502.94x = 694.06 × 306.42
  4. Step 4: Simplify right side
    502.94x = 212,673.87
  5. Step 5: Solve for x
    x = 212,673.87/502.94
  6. Step 6: Final answer
    x = 422.86

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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.