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Finding the Fourth Proportional to 439.75, 656.22 and 381.43

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Solution

The fourth proportional to 439.75, 656.22 and 381.43 is: 569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.75 : 656.22 = 381.43 : x
  2. Step 2: Convert to fraction form
    439.75/656.22 = 381.43/x
  3. Step 3: Cross multiply
    439.75x = 656.22 × 381.43
  4. Step 4: Simplify right side
    439.75x = 250,300.09
  5. Step 5: Solve for x
    x = 250,300.09/439.75
  6. Step 6: Final answer
    x = 569.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.