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Finding the Fourth Proportional to 456.22, 680.27 and 450.55

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Solution

The fourth proportional to 456.22, 680.27 and 450.55 is: 671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.22 : 680.27 = 450.55 : x
  2. Step 2: Convert to fraction form
    456.22/680.27 = 450.55/x
  3. Step 3: Cross multiply
    456.22x = 680.27 × 450.55
  4. Step 4: Simplify right side
    456.22x = 306,495.65
  5. Step 5: Solve for x
    x = 306,495.65/456.22
  6. Step 6: Final answer
    x = 671.82

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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.