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Finding the Fourth Proportional to 474.56, 655.15 and 327.98

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Solution

The fourth proportional to 474.56, 655.15 and 327.98 is: 452.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.56 : 655.15 = 327.98 : x
  2. Step 2: Convert to fraction form
    474.56/655.15 = 327.98/x
  3. Step 3: Cross multiply
    474.56x = 655.15 × 327.98
  4. Step 4: Simplify right side
    474.56x = 214,876.10
  5. Step 5: Solve for x
    x = 214,876.10/474.56
  6. Step 6: Final answer
    x = 452.79

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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.