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Finding the Fourth Proportional to 857.22, 1,183.25 and 609.26

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Solution

The fourth proportional to 857.22, 1,183.25 and 609.26 is: 840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.22 : 1,183.25 = 609.26 : x
  2. Step 2: Convert to fraction form
    857.22/1,183.25 = 609.26/x
  3. Step 3: Cross multiply
    857.22x = 1,183.25 × 609.26
  4. Step 4: Simplify right side
    857.22x = 720,902.41
  5. Step 5: Solve for x
    x = 720,902.41/857.22
  6. Step 6: Final answer
    x = 840.98

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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.