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Finding the Fourth Proportional to 845.01, 1,163.75 and 806.13

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Solution

The fourth proportional to 845.01, 1,163.75 and 806.13 is: 1,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.01 : 1,163.75 = 806.13 : x
  2. Step 2: Convert to fraction form
    845.01/1,163.75 = 806.13/x
  3. Step 3: Cross multiply
    845.01x = 1,163.75 × 806.13
  4. Step 4: Simplify right side
    845.01x = 938,129.76
  5. Step 5: Solve for x
    x = 938,129.76/845.01
  6. Step 6: Final answer
    x = 1,110.20

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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.