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Finding the Fourth Proportional to 475.92, 708.81 and 445.92

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Solution

The fourth proportional to 475.92, 708.81 and 445.92 is: 664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 708.81 = 445.92 : x
  2. Step 2: Convert to fraction form
    475.92/708.81 = 445.92/x
  3. Step 3: Cross multiply
    475.92x = 708.81 × 445.92
  4. Step 4: Simplify right side
    475.92x = 316,072.56
  5. Step 5: Solve for x
    x = 316,072.56/475.92
  6. Step 6: Final answer
    x = 664.13

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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.