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Finding the Fourth Proportional to 609.25, 842.37 and 582.05

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Solution

The fourth proportional to 609.25, 842.37 and 582.05 is: 804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.25 : 842.37 = 582.05 : x
  2. Step 2: Convert to fraction form
    609.25/842.37 = 582.05/x
  3. Step 3: Cross multiply
    609.25x = 842.37 × 582.05
  4. Step 4: Simplify right side
    609.25x = 490,301.46
  5. Step 5: Solve for x
    x = 490,301.46/609.25
  6. Step 6: Final answer
    x = 804.76

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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.