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Finding the Fourth Proportional to 472.96, 704.84 and 445.12

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Solution

The fourth proportional to 472.96, 704.84 and 445.12 is: 663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.96 : 704.84 = 445.12 : x
  2. Step 2: Convert to fraction form
    472.96/704.84 = 445.12/x
  3. Step 3: Cross multiply
    472.96x = 704.84 × 445.12
  4. Step 4: Simplify right side
    472.96x = 313,738.38
  5. Step 5: Solve for x
    x = 313,738.38/472.96
  6. Step 6: Final answer
    x = 663.35

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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.