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Finding the Fourth Proportional to 499.81, 745.89 and 445.13

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Solution

The fourth proportional to 499.81, 745.89 and 445.13 is: 664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.81 : 745.89 = 445.13 : x
  2. Step 2: Convert to fraction form
    499.81/745.89 = 445.13/x
  3. Step 3: Cross multiply
    499.81x = 745.89 × 445.13
  4. Step 4: Simplify right side
    499.81x = 332,021.55
  5. Step 5: Solve for x
    x = 332,021.55/499.81
  6. Step 6: Final answer
    x = 664.30

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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.