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Finding the Fourth Proportional to 475.72, 656.57 and 396.90

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Solution

The fourth proportional to 475.72, 656.57 and 396.90 is: 547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 656.57 = 396.90 : x
  2. Step 2: Convert to fraction form
    475.72/656.57 = 396.90/x
  3. Step 3: Cross multiply
    475.72x = 656.57 × 396.90
  4. Step 4: Simplify right side
    475.72x = 260,592.63
  5. Step 5: Solve for x
    x = 260,592.63/475.72
  6. Step 6: Final answer
    x = 547.79

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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.