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Finding the Fourth Proportional to 476.86, 657.74 and 327.56

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Solution

The fourth proportional to 476.86, 657.74 and 327.56 is: 451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.86 : 657.74 = 327.56 : x
  2. Step 2: Convert to fraction form
    476.86/657.74 = 327.56/x
  3. Step 3: Cross multiply
    476.86x = 657.74 × 327.56
  4. Step 4: Simplify right side
    476.86x = 215,449.31
  5. Step 5: Solve for x
    x = 215,449.31/476.86
  6. Step 6: Final answer
    x = 451.81

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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.