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Finding the Fourth Proportional to 433.22, 645.91 and 422.01

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Solution

The fourth proportional to 433.22, 645.91 and 422.01 is: 629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.22 : 645.91 = 422.01 : x
  2. Step 2: Convert to fraction form
    433.22/645.91 = 422.01/x
  3. Step 3: Cross multiply
    433.22x = 645.91 × 422.01
  4. Step 4: Simplify right side
    433.22x = 272,579.42
  5. Step 5: Solve for x
    x = 272,579.42/433.22
  6. Step 6: Final answer
    x = 629.20

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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.