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Finding the Fourth Proportional to 589.43, 812.97 and 379.46

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Solution

The fourth proportional to 589.43, 812.97 and 379.46 is: 523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.43 : 812.97 = 379.46 : x
  2. Step 2: Convert to fraction form
    589.43/812.97 = 379.46/x
  3. Step 3: Cross multiply
    589.43x = 812.97 × 379.46
  4. Step 4: Simplify right side
    589.43x = 308,489.60
  5. Step 5: Solve for x
    x = 308,489.60/589.43
  6. Step 6: Final answer
    x = 523.37

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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.