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Finding the Fourth Proportional to 450.12, 622.08 and 406.20

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Solution

The fourth proportional to 450.12, 622.08 and 406.20 is: 561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.12 : 622.08 = 406.20 : x
  2. Step 2: Convert to fraction form
    450.12/622.08 = 406.20/x
  3. Step 3: Cross multiply
    450.12x = 622.08 × 406.20
  4. Step 4: Simplify right side
    450.12x = 252,688.90
  5. Step 5: Solve for x
    x = 252,688.90/450.12
  6. Step 6: Final answer
    x = 561.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.