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Finding the Fourth Proportional to 455.97, 629.48 and 296.65

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Solution

The fourth proportional to 455.97, 629.48 and 296.65 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.97 : 629.48 = 296.65 : x
  2. Step 2: Convert to fraction form
    455.97/629.48 = 296.65/x
  3. Step 3: Cross multiply
    455.97x = 629.48 × 296.65
  4. Step 4: Simplify right side
    455.97x = 186,736.30
  5. Step 5: Solve for x
    x = 186,736.30/455.97
  6. Step 6: Final answer
    x = 409.54

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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.