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Finding the Fourth Proportional to 447.75, 670.89 and 317.11

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Solution

The fourth proportional to 447.75, 670.89 and 317.11 is: 475.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.75 : 670.89 = 317.11 : x
  2. Step 2: Convert to fraction form
    447.75/670.89 = 317.11/x
  3. Step 3: Cross multiply
    447.75x = 670.89 × 317.11
  4. Step 4: Simplify right side
    447.75x = 212,745.93
  5. Step 5: Solve for x
    x = 212,745.93/447.75
  6. Step 6: Final answer
    x = 475.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.