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Finding the Fourth Proportional to 842.74, 1,163.37 and 633.76

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Solution

The fourth proportional to 842.74, 1,163.37 and 633.76 is: 874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.74 : 1,163.37 = 633.76 : x
  2. Step 2: Convert to fraction form
    842.74/1,163.37 = 633.76/x
  3. Step 3: Cross multiply
    842.74x = 1,163.37 × 633.76
  4. Step 4: Simplify right side
    842.74x = 737,297.37
  5. Step 5: Solve for x
    x = 737,297.37/842.74
  6. Step 6: Final answer
    x = 874.88

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1.5x scale

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.