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Finding the Fourth Proportional to 477.20, 657.60 and 398.36

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Solution

The fourth proportional to 477.20, 657.60 and 398.36 is: 548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.20 : 657.60 = 398.36 : x
  2. Step 2: Convert to fraction form
    477.20/657.60 = 398.36/x
  3. Step 3: Cross multiply
    477.20x = 657.60 × 398.36
  4. Step 4: Simplify right side
    477.20x = 261,961.54
  5. Step 5: Solve for x
    x = 261,961.54/477.20
  6. Step 6: Final answer
    x = 548.96

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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.