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Finding the Fourth Proportional to 447.35, 670.10 and 396.12

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Solution

The fourth proportional to 447.35, 670.10 and 396.12 is: 593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.35 : 670.10 = 396.12 : x
  2. Step 2: Convert to fraction form
    447.35/670.10 = 396.12/x
  3. Step 3: Cross multiply
    447.35x = 670.10 × 396.12
  4. Step 4: Simplify right side
    447.35x = 265,438.03
  5. Step 5: Solve for x
    x = 265,438.03/447.35
  6. Step 6: Final answer
    x = 593.36

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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.