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Finding the Fourth Proportional to 494.64, 680.13 and 441.86

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Solution

The fourth proportional to 494.64, 680.13 and 441.86 is: 607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.64 : 680.13 = 441.86 : x
  2. Step 2: Convert to fraction form
    494.64/680.13 = 441.86/x
  3. Step 3: Cross multiply
    494.64x = 680.13 × 441.86
  4. Step 4: Simplify right side
    494.64x = 300,518.84
  5. Step 5: Solve for x
    x = 300,518.84/494.64
  6. Step 6: Final answer
    x = 607.55

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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.