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Finding the Fourth Proportional to 447.44, 671.58 and 317.07

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Solution

The fourth proportional to 447.44, 671.58 and 317.07 is: 475.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.44 : 671.58 = 317.07 : x
  2. Step 2: Convert to fraction form
    447.44/671.58 = 317.07/x
  3. Step 3: Cross multiply
    447.44x = 671.58 × 317.07
  4. Step 4: Simplify right side
    447.44x = 212,937.87
  5. Step 5: Solve for x
    x = 212,937.87/447.44
  6. Step 6: Final answer
    x = 475.90

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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.