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Finding the Fourth Proportional to 493.09, 679.19 and 464.54

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Solution

The fourth proportional to 493.09, 679.19 and 464.54 is: 639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.09 : 679.19 = 464.54 : x
  2. Step 2: Convert to fraction form
    493.09/679.19 = 464.54/x
  3. Step 3: Cross multiply
    493.09x = 679.19 × 464.54
  4. Step 4: Simplify right side
    493.09x = 315,505.20
  5. Step 5: Solve for x
    x = 315,505.20/493.09
  6. Step 6: Final answer
    x = 639.86

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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.