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Finding the Fourth Proportional to 455.05, 682.17 and 378.64

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Solution

The fourth proportional to 455.05, 682.17 and 378.64 is: 567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.05 : 682.17 = 378.64 : x
  2. Step 2: Convert to fraction form
    455.05/682.17 = 378.64/x
  3. Step 3: Cross multiply
    455.05x = 682.17 × 378.64
  4. Step 4: Simplify right side
    455.05x = 258,296.85
  5. Step 5: Solve for x
    x = 258,296.85/455.05
  6. Step 6: Final answer
    x = 567.62

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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.