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Finding the Fourth Proportional to 468.14, 698.78 and 447.08

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Solution

The fourth proportional to 468.14, 698.78 and 447.08 is: 667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.14 : 698.78 = 447.08 : x
  2. Step 2: Convert to fraction form
    468.14/698.78 = 447.08/x
  3. Step 3: Cross multiply
    468.14x = 698.78 × 447.08
  4. Step 4: Simplify right side
    468.14x = 312,410.56
  5. Step 5: Solve for x
    x = 312,410.56/468.14
  6. Step 6: Final answer
    x = 667.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.