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Finding the Fourth Proportional to 502.73, 754.14 and 259.43

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Solution

The fourth proportional to 502.73, 754.14 and 259.43 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.73 : 754.14 = 259.43 : x
  2. Step 2: Convert to fraction form
    502.73/754.14 = 259.43/x
  3. Step 3: Cross multiply
    502.73x = 754.14 × 259.43
  4. Step 4: Simplify right side
    502.73x = 195,648.43
  5. Step 5: Solve for x
    x = 195,648.43/502.73
  6. Step 6: Final answer
    x = 389.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.