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Finding the Fourth Proportional to 490.42, 675.39 and 446.61

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Solution

The fourth proportional to 490.42, 675.39 and 446.61 is: 615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 675.39 = 446.61 : x
  2. Step 2: Convert to fraction form
    490.42/675.39 = 446.61/x
  3. Step 3: Cross multiply
    490.42x = 675.39 × 446.61
  4. Step 4: Simplify right side
    490.42x = 301,637.62
  5. Step 5: Solve for x
    x = 301,637.62/490.42
  6. Step 6: Final answer
    x = 615.06

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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.