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Finding the Fourth Proportional to 450.60, 622.67 and 406.32

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Solution

The fourth proportional to 450.60, 622.67 and 406.32 is: 561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.60 : 622.67 = 406.32 : x
  2. Step 2: Convert to fraction form
    450.60/622.67 = 406.32/x
  3. Step 3: Cross multiply
    450.60x = 622.67 × 406.32
  4. Step 4: Simplify right side
    450.60x = 253,001.24
  5. Step 5: Solve for x
    x = 253,001.24/450.60
  6. Step 6: Final answer
    x = 561.48

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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.