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Finding the Fourth Proportional to 842.87, 1,163.25 and 776.70

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Solution

The fourth proportional to 842.87, 1,163.25 and 776.70 is: 1,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.87 : 1,163.25 = 776.70 : x
  2. Step 2: Convert to fraction form
    842.87/1,163.25 = 776.70/x
  3. Step 3: Cross multiply
    842.87x = 1,163.25 × 776.70
  4. Step 4: Simplify right side
    842.87x = 903,496.28
  5. Step 5: Solve for x
    x = 903,496.28/842.87
  6. Step 6: Final answer
    x = 1,071.93

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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.