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Finding the Fourth Proportional to 483.51, 667.57 and 287.09

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Solution

The fourth proportional to 483.51, 667.57 and 287.09 is: 396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.51 : 667.57 = 287.09 : x
  2. Step 2: Convert to fraction form
    483.51/667.57 = 287.09/x
  3. Step 3: Cross multiply
    483.51x = 667.57 × 287.09
  4. Step 4: Simplify right side
    483.51x = 191,648.62
  5. Step 5: Solve for x
    x = 191,648.62/483.51
  6. Step 6: Final answer
    x = 396.37

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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.