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Finding the Fourth Proportional to 494.16, 744.90 and 450.96

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Solution

The fourth proportional to 494.16, 744.90 and 450.96 is: 679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 744.90 = 450.96 : x
  2. Step 2: Convert to fraction form
    494.16/744.90 = 450.96/x
  3. Step 3: Cross multiply
    494.16x = 744.90 × 450.96
  4. Step 4: Simplify right side
    494.16x = 335,920.10
  5. Step 5: Solve for x
    x = 335,920.10/494.16
  6. Step 6: Final answer
    x = 679.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.