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Finding the Fourth Proportional to 608.82, 840.36 and 422.34

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Solution

The fourth proportional to 608.82, 840.36 and 422.34 is: 582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.82 : 840.36 = 422.34 : x
  2. Step 2: Convert to fraction form
    608.82/840.36 = 422.34/x
  3. Step 3: Cross multiply
    608.82x = 840.36 × 422.34
  4. Step 4: Simplify right side
    608.82x = 354,917.64
  5. Step 5: Solve for x
    x = 354,917.64/608.82
  6. Step 6: Final answer
    x = 582.96

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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.