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Finding the Fourth Proportional to 450.05, 617.40 and 422.11

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Solution

The fourth proportional to 450.05, 617.40 and 422.11 is: 579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.05 : 617.40 = 422.11 : x
  2. Step 2: Convert to fraction form
    450.05/617.40 = 422.11/x
  3. Step 3: Cross multiply
    450.05x = 617.40 × 422.11
  4. Step 4: Simplify right side
    450.05x = 260,611.77
  5. Step 5: Solve for x
    x = 260,611.77/450.05
  6. Step 6: Final answer
    x = 579.07

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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.