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Finding the Fourth Proportional to 502.86, 694.10 and 306.47

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Solution

The fourth proportional to 502.86, 694.10 and 306.47 is: 423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.86 : 694.10 = 306.47 : x
  2. Step 2: Convert to fraction form
    502.86/694.10 = 306.47/x
  3. Step 3: Cross multiply
    502.86x = 694.10 × 306.47
  4. Step 4: Simplify right side
    502.86x = 212,723.33
  5. Step 5: Solve for x
    x = 212,723.33/502.86
  6. Step 6: Final answer
    x = 423.02

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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.