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Finding the Fourth Proportional to 588.33, 811.97 and 378.43

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Solution

The fourth proportional to 588.33, 811.97 and 378.43 is: 522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.33 : 811.97 = 378.43 : x
  2. Step 2: Convert to fraction form
    588.33/811.97 = 378.43/x
  3. Step 3: Cross multiply
    588.33x = 811.97 × 378.43
  4. Step 4: Simplify right side
    588.33x = 307,273.81
  5. Step 5: Solve for x
    x = 307,273.81/588.33
  6. Step 6: Final answer
    x = 522.28

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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.