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Finding the Fourth Proportional to 455.22, 678.78 and 449.55

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Solution

The fourth proportional to 455.22, 678.78 and 449.55 is: 670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.22 : 678.78 = 449.55 : x
  2. Step 2: Convert to fraction form
    455.22/678.78 = 449.55/x
  3. Step 3: Cross multiply
    455.22x = 678.78 × 449.55
  4. Step 4: Simplify right side
    455.22x = 305,145.55
  5. Step 5: Solve for x
    x = 305,145.55/455.22
  6. Step 6: Final answer
    x = 670.33

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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.