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Finding the Fourth Proportional to 475.85, 655.62 and 396.88

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Solution

The fourth proportional to 475.85, 655.62 and 396.88 is: 546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.85 : 655.62 = 396.88 : x
  2. Step 2: Convert to fraction form
    475.85/655.62 = 396.88/x
  3. Step 3: Cross multiply
    475.85x = 655.62 × 396.88
  4. Step 4: Simplify right side
    475.85x = 260,202.47
  5. Step 5: Solve for x
    x = 260,202.47/475.85
  6. Step 6: Final answer
    x = 546.82

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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.