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Finding the Fourth Proportional to 531.29, 796.47 and 257.57

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Solution

The fourth proportional to 531.29, 796.47 and 257.57 is: 386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.29 : 796.47 = 257.57 : x
  2. Step 2: Convert to fraction form
    531.29/796.47 = 257.57/x
  3. Step 3: Cross multiply
    531.29x = 796.47 × 257.57
  4. Step 4: Simplify right side
    531.29x = 205,142.80
  5. Step 5: Solve for x
    x = 205,142.80/531.29
  6. Step 6: Final answer
    x = 386.13

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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.