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Finding the Fourth Proportional to 502.41, 693.44 and 327.45

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Solution

The fourth proportional to 502.41, 693.44 and 327.45 is: 451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.41 : 693.44 = 327.45 : x
  2. Step 2: Convert to fraction form
    502.41/693.44 = 327.45/x
  3. Step 3: Cross multiply
    502.41x = 693.44 × 327.45
  4. Step 4: Simplify right side
    502.41x = 227,066.93
  5. Step 5: Solve for x
    x = 227,066.93/502.41
  6. Step 6: Final answer
    x = 451.96

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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.