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Finding the Fourth Proportional to 502.54, 694.19 and 455.97

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Solution

The fourth proportional to 502.54, 694.19 and 455.97 is: 629.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.54 : 694.19 = 455.97 : x
  2. Step 2: Convert to fraction form
    502.54/694.19 = 455.97/x
  3. Step 3: Cross multiply
    502.54x = 694.19 × 455.97
  4. Step 4: Simplify right side
    502.54x = 316,529.81
  5. Step 5: Solve for x
    x = 316,529.81/502.54
  6. Step 6: Final answer
    x = 629.86

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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.