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Finding the Fourth Proportional to 456.33, 680.16 and 441.33

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Solution

The fourth proportional to 456.33, 680.16 and 441.33 is: 657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.33 : 680.16 = 441.33 : x
  2. Step 2: Convert to fraction form
    456.33/680.16 = 441.33/x
  3. Step 3: Cross multiply
    456.33x = 680.16 × 441.33
  4. Step 4: Simplify right side
    456.33x = 300,175.01
  5. Step 5: Solve for x
    x = 300,175.01/456.33
  6. Step 6: Final answer
    x = 657.80

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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.