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Finding the Fourth Proportional to 500.50, 745.78 and 445.98

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Solution

The fourth proportional to 500.50, 745.78 and 445.98 is: 664.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.50 : 745.78 = 445.98 : x
  2. Step 2: Convert to fraction form
    500.50/745.78 = 445.98/x
  3. Step 3: Cross multiply
    500.50x = 745.78 × 445.98
  4. Step 4: Simplify right side
    500.50x = 332,602.96
  5. Step 5: Solve for x
    x = 332,602.96/500.50
  6. Step 6: Final answer
    x = 664.54

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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.