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Finding the Fourth Proportional to 455.08, 627.78 and 446.44

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Solution

The fourth proportional to 455.08, 627.78 and 446.44 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.08 : 627.78 = 446.44 : x
  2. Step 2: Convert to fraction form
    455.08/627.78 = 446.44/x
  3. Step 3: Cross multiply
    455.08x = 627.78 × 446.44
  4. Step 4: Simplify right side
    455.08x = 280,266.10
  5. Step 5: Solve for x
    x = 280,266.10/455.08
  6. Step 6: Final answer
    x = 615.86

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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.