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Finding the Fourth Proportional to 457, 629.82 and 422.20

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Solution

The fourth proportional to 457, 629.82 and 422.20 is: 581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 629.82 = 422.20 : x
  2. Step 2: Convert to fraction form
    457/629.82 = 422.20/x
  3. Step 3: Cross multiply
    457x = 629.82 × 422.20
  4. Step 4: Simplify right side
    457x = 265,910.00
  5. Step 5: Solve for x
    x = 265,910.00/457
  6. Step 6: Final answer
    x = 581.86

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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.