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Finding the Fourth Proportional to 472.78, 707.89 and 445.49

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Solution

The fourth proportional to 472.78, 707.89 and 445.49 is: 667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 707.89 = 445.49 : x
  2. Step 2: Convert to fraction form
    472.78/707.89 = 445.49/x
  3. Step 3: Cross multiply
    472.78x = 707.89 × 445.49
  4. Step 4: Simplify right side
    472.78x = 315,355.69
  5. Step 5: Solve for x
    x = 315,355.69/472.78
  6. Step 6: Final answer
    x = 667.02

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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.