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Finding the Fourth Proportional to 494.39, 744.95 and 409.61

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Solution

The fourth proportional to 494.39, 744.95 and 409.61 is: 617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.39 : 744.95 = 409.61 : x
  2. Step 2: Convert to fraction form
    494.39/744.95 = 409.61/x
  3. Step 3: Cross multiply
    494.39x = 744.95 × 409.61
  4. Step 4: Simplify right side
    494.39x = 305,138.97
  5. Step 5: Solve for x
    x = 305,138.97/494.39
  6. Step 6: Final answer
    x = 617.20

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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.