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Finding the Fourth Proportional to 500.00, 746.17 and 445.32

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Solution

The fourth proportional to 500.00, 746.17 and 445.32 is: 664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.00 : 746.17 = 445.32 : x
  2. Step 2: Convert to fraction form
    500.00/746.17 = 445.32/x
  3. Step 3: Cross multiply
    500.00x = 746.17 × 445.32
  4. Step 4: Simplify right side
    500.00x = 332,285.82
  5. Step 5: Solve for x
    x = 332,285.82/500.00
  6. Step 6: Final answer
    x = 664.58

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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.