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Finding the Fourth Proportional to 454.11, 680.41 and 437.03

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Solution

The fourth proportional to 454.11, 680.41 and 437.03 is: 654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.11 : 680.41 = 437.03 : x
  2. Step 2: Convert to fraction form
    454.11/680.41 = 437.03/x
  3. Step 3: Cross multiply
    454.11x = 680.41 × 437.03
  4. Step 4: Simplify right side
    454.11x = 297,361.83
  5. Step 5: Solve for x
    x = 297,361.83/454.11
  6. Step 6: Final answer
    x = 654.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.