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Finding the Fourth Proportional to 494.40, 744.94 and 409.62

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Solution

The fourth proportional to 494.40, 744.94 and 409.62 is: 617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.40 : 744.94 = 409.62 : x
  2. Step 2: Convert to fraction form
    494.40/744.94 = 409.62/x
  3. Step 3: Cross multiply
    494.40x = 744.94 × 409.62
  4. Step 4: Simplify right side
    494.40x = 305,142.32
  5. Step 5: Solve for x
    x = 305,142.32/494.40
  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.