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Finding the Fourth Proportional to 604.67, 905.64 and 422.20

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Solution

The fourth proportional to 604.67, 905.64 and 422.20 is: 632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.67 : 905.64 = 422.20 : x
  2. Step 2: Convert to fraction form
    604.67/905.64 = 422.20/x
  3. Step 3: Cross multiply
    604.67x = 905.64 × 422.20
  4. Step 4: Simplify right side
    604.67x = 382,361.21
  5. Step 5: Solve for x
    x = 382,361.21/604.67
  6. Step 6: Final answer
    x = 632.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.