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Finding the Fourth Proportional to 531.71, 796.89 and 257.43

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Solution

The fourth proportional to 531.71, 796.89 and 257.43 is: 385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.71 : 796.89 = 257.43 : x
  2. Step 2: Convert to fraction form
    531.71/796.89 = 257.43/x
  3. Step 3: Cross multiply
    531.71x = 796.89 × 257.43
  4. Step 4: Simplify right side
    531.71x = 205,141.42
  5. Step 5: Solve for x
    x = 205,141.42/531.71
  6. Step 6: Final answer
    x = 385.81

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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.