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Finding the Fourth Proportional to 494.16, 743.84 and 450.42

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Solution

The fourth proportional to 494.16, 743.84 and 450.42 is: 678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.16 : 743.84 = 450.42 : x
  2. Step 2: Convert to fraction form
    494.16/743.84 = 450.42/x
  3. Step 3: Cross multiply
    494.16x = 743.84 × 450.42
  4. Step 4: Simplify right side
    494.16x = 335,040.41
  5. Step 5: Solve for x
    x = 335,040.41/494.16
  6. Step 6: Final answer
    x = 678.00

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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.