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Finding the Fourth Proportional to 481.37, 663.76 and 418.64

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Solution

The fourth proportional to 481.37, 663.76 and 418.64 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.37 : 663.76 = 418.64 : x
  2. Step 2: Convert to fraction form
    481.37/663.76 = 418.64/x
  3. Step 3: Cross multiply
    481.37x = 663.76 × 418.64
  4. Step 4: Simplify right side
    481.37x = 277,877.10
  5. Step 5: Solve for x
    x = 277,877.10/481.37
  6. Step 6: Final answer
    x = 577.26

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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.