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Finding the Fourth Proportional to 845.82, 1,163.05 and 819.86

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Solution

The fourth proportional to 845.82, 1,163.05 and 819.86 is: 1,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.82 : 1,163.05 = 819.86 : x
  2. Step 2: Convert to fraction form
    845.82/1,163.05 = 819.86/x
  3. Step 3: Cross multiply
    845.82x = 1,163.05 × 819.86
  4. Step 4: Simplify right side
    845.82x = 953,539.03
  5. Step 5: Solve for x
    x = 953,539.03/845.82
  6. Step 6: Final answer
    x = 1,127.35

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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.