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Finding the Fourth Proportional to 500.19, 745.31 and 445.67

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Solution

The fourth proportional to 500.19, 745.31 and 445.67 is: 664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.19 : 745.31 = 445.67 : x
  2. Step 2: Convert to fraction form
    500.19/745.31 = 445.67/x
  3. Step 3: Cross multiply
    500.19x = 745.31 × 445.67
  4. Step 4: Simplify right side
    500.19x = 332,162.31
  5. Step 5: Solve for x
    x = 332,162.31/500.19
  6. Step 6: Final answer
    x = 664.07

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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.