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Finding the Fourth Proportional to 845.56, 1,266.37 and 822.21

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Solution

The fourth proportional to 845.56, 1,266.37 and 822.21 is: 1,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.56 : 1,266.37 = 822.21 : x
  2. Step 2: Convert to fraction form
    845.56/1,266.37 = 822.21/x
  3. Step 3: Cross multiply
    845.56x = 1,266.37 × 822.21
  4. Step 4: Simplify right side
    845.56x = 1,041,220.62
  5. Step 5: Solve for x
    x = 1,041,220.62/845.56
  6. Step 6: Final answer
    x = 1,231.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.