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Finding the Fourth Proportional to 455.25, 627.84 and 344.82

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Solution

The fourth proportional to 455.25, 627.84 and 344.82 is: 475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.25 : 627.84 = 344.82 : x
  2. Step 2: Convert to fraction form
    455.25/627.84 = 344.82/x
  3. Step 3: Cross multiply
    455.25x = 627.84 × 344.82
  4. Step 4: Simplify right side
    455.25x = 216,491.79
  5. Step 5: Solve for x
    x = 216,491.79/455.25
  6. Step 6: Final answer
    x = 475.54

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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.