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Finding the Fourth Proportional to 620.85, 930.75 and 447.09

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Solution

The fourth proportional to 620.85, 930.75 and 447.09 is: 670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.85 : 930.75 = 447.09 : x
  2. Step 2: Convert to fraction form
    620.85/930.75 = 447.09/x
  3. Step 3: Cross multiply
    620.85x = 930.75 × 447.09
  4. Step 4: Simplify right side
    620.85x = 416,129.02
  5. Step 5: Solve for x
    x = 416,129.02/620.85
  6. Step 6: Final answer
    x = 670.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.