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Finding the Fourth Proportional to 451, 622.74 and 353.26

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Solution

The fourth proportional to 451, 622.74 and 353.26 is: 487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451 : 622.74 = 353.26 : x
  2. Step 2: Convert to fraction form
    451/622.74 = 353.26/x
  3. Step 3: Cross multiply
    451x = 622.74 × 353.26
  4. Step 4: Simplify right side
    451x = 219,989.13
  5. Step 5: Solve for x
    x = 219,989.13/451
  6. Step 6: Final answer
    x = 487.78

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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.