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Finding the Fourth Proportional to 498.06, 682.38 and 491.22

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Solution

The fourth proportional to 498.06, 682.38 and 491.22 is: 673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.06 : 682.38 = 491.22 : x
  2. Step 2: Convert to fraction form
    498.06/682.38 = 491.22/x
  3. Step 3: Cross multiply
    498.06x = 682.38 × 491.22
  4. Step 4: Simplify right side
    498.06x = 335,198.70
  5. Step 5: Solve for x
    x = 335,198.70/498.06
  6. Step 6: Final answer
    x = 673.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.