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Finding the Fourth Proportional to 447.16, 669.50 and 325.64

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Solution

The fourth proportional to 447.16, 669.50 and 325.64 is: 487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.16 : 669.50 = 325.64 : x
  2. Step 2: Convert to fraction form
    447.16/669.50 = 325.64/x
  3. Step 3: Cross multiply
    447.16x = 669.50 × 325.64
  4. Step 4: Simplify right side
    447.16x = 218,015.98
  5. Step 5: Solve for x
    x = 218,015.98/447.16
  6. Step 6: Final answer
    x = 487.56

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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.