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Finding the Fourth Proportional to 472.33, 704.50 and 445.23

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Solution

The fourth proportional to 472.33, 704.50 and 445.23 is: 664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.33 : 704.50 = 445.23 : x
  2. Step 2: Convert to fraction form
    472.33/704.50 = 445.23/x
  3. Step 3: Cross multiply
    472.33x = 704.50 × 445.23
  4. Step 4: Simplify right side
    472.33x = 313,664.54
  5. Step 5: Solve for x
    x = 313,664.54/472.33
  6. Step 6: Final answer
    x = 664.08

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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.