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Finding the Fourth Proportional to 502.56, 694.56 and 378.60

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Solution

The fourth proportional to 502.56, 694.56 and 378.60 is: 523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 694.56 = 378.60 : x
  2. Step 2: Convert to fraction form
    502.56/694.56 = 378.60/x
  3. Step 3: Cross multiply
    502.56x = 694.56 × 378.60
  4. Step 4: Simplify right side
    502.56x = 262,960.42
  5. Step 5: Solve for x
    x = 262,960.42/502.56
  6. Step 6: Final answer
    x = 523.24

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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.