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Finding the Fourth Proportional to 500.24, 746.50 and 445.70

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Solution

The fourth proportional to 500.24, 746.50 and 445.70 is: 665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.24 : 746.50 = 445.70 : x
  2. Step 2: Convert to fraction form
    500.24/746.50 = 445.70/x
  3. Step 3: Cross multiply
    500.24x = 746.50 × 445.70
  4. Step 4: Simplify right side
    500.24x = 332,715.05
  5. Step 5: Solve for x
    x = 332,715.05/500.24
  6. Step 6: Final answer
    x = 665.11

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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.