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Finding the Fourth Proportional to 481.43, 719.07 and 416.63

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Solution

The fourth proportional to 481.43, 719.07 and 416.63 is: 622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.43 : 719.07 = 416.63 : x
  2. Step 2: Convert to fraction form
    481.43/719.07 = 416.63/x
  3. Step 3: Cross multiply
    481.43x = 719.07 × 416.63
  4. Step 4: Simplify right side
    481.43x = 299,584.05
  5. Step 5: Solve for x
    x = 299,584.05/481.43
  6. Step 6: Final answer
    x = 622.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.