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Finding the Fourth Proportional to 447.70, 670.32 and 378.84

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Solution

The fourth proportional to 447.70, 670.32 and 378.84 is: 567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.70 : 670.32 = 378.84 : x
  2. Step 2: Convert to fraction form
    447.70/670.32 = 378.84/x
  3. Step 3: Cross multiply
    447.70x = 670.32 × 378.84
  4. Step 4: Simplify right side
    447.70x = 253,944.03
  5. Step 5: Solve for x
    x = 253,944.03/447.70
  6. Step 6: Final answer
    x = 567.22

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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.