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Finding the Fourth Proportional to 475.29, 655.41 and 447.94

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Solution

The fourth proportional to 475.29, 655.41 and 447.94 is: 617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.29 : 655.41 = 447.94 : x
  2. Step 2: Convert to fraction form
    475.29/655.41 = 447.94/x
  3. Step 3: Cross multiply
    475.29x = 655.41 × 447.94
  4. Step 4: Simplify right side
    475.29x = 293,584.36
  5. Step 5: Solve for x
    x = 293,584.36/475.29
  6. Step 6: Final answer
    x = 617.70

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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.