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Finding the Fourth Proportional to 481.49, 665.03 and 419.12

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Solution

The fourth proportional to 481.49, 665.03 and 419.12 is: 578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.49 : 665.03 = 419.12 : x
  2. Step 2: Convert to fraction form
    481.49/665.03 = 419.12/x
  3. Step 3: Cross multiply
    481.49x = 665.03 × 419.12
  4. Step 4: Simplify right side
    481.49x = 278,725.10
  5. Step 5: Solve for x
    x = 278,725.10/481.49
  6. Step 6: Final answer
    x = 578.89

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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.