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Finding the Fourth Proportional to 450.23, 620.46 and 325.66

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Solution

The fourth proportional to 450.23, 620.46 and 325.66 is: 448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.23 : 620.46 = 325.66 : x
  2. Step 2: Convert to fraction form
    450.23/620.46 = 325.66/x
  3. Step 3: Cross multiply
    450.23x = 620.46 × 325.66
  4. Step 4: Simplify right side
    450.23x = 202,059.00
  5. Step 5: Solve for x
    x = 202,059.00/450.23
  6. Step 6: Final answer
    x = 448.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.