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Finding the Fourth Proportional to 422.01, 629.89 and 396.04

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Solution

The fourth proportional to 422.01, 629.89 and 396.04 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 629.89 = 396.04 : x
  2. Step 2: Convert to fraction form
    422.01/629.89 = 396.04/x
  3. Step 3: Cross multiply
    422.01x = 629.89 × 396.04
  4. Step 4: Simplify right side
    422.01x = 249,462.48
  5. Step 5: Solve for x
    x = 249,462.48/422.01
  6. Step 6: Final answer
    x = 591.13

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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.