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Finding the Fourth Proportional to 450.30, 617.75 and 422.36

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Solution

The fourth proportional to 450.30, 617.75 and 422.36 is: 579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.30 : 617.75 = 422.36 : x
  2. Step 2: Convert to fraction form
    450.30/617.75 = 422.36/x
  3. Step 3: Cross multiply
    450.30x = 617.75 × 422.36
  4. Step 4: Simplify right side
    450.30x = 260,910.78
  5. Step 5: Solve for x
    x = 260,910.78/450.30
  6. Step 6: Final answer
    x = 579.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.