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Finding the Fourth Proportional to 682.82, 942.44 and 434.09

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Solution

The fourth proportional to 682.82, 942.44 and 434.09 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.82 : 942.44 = 434.09 : x
  2. Step 2: Convert to fraction form
    682.82/942.44 = 434.09/x
  3. Step 3: Cross multiply
    682.82x = 942.44 × 434.09
  4. Step 4: Simplify right side
    682.82x = 409,102.06
  5. Step 5: Solve for x
    x = 409,102.06/682.82
  6. Step 6: Final answer
    x = 599.14

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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.