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Finding the Fourth Proportional to 502.46, 694.74 and 440.96

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Solution

The fourth proportional to 502.46, 694.74 and 440.96 is: 609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.46 : 694.74 = 440.96 : x
  2. Step 2: Convert to fraction form
    502.46/694.74 = 440.96/x
  3. Step 3: Cross multiply
    502.46x = 694.74 × 440.96
  4. Step 4: Simplify right side
    502.46x = 306,352.55
  5. Step 5: Solve for x
    x = 306,352.55/502.46
  6. Step 6: Final answer
    x = 609.71

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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.