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Finding the Fourth Proportional to 990.26, 1,365.46 and 842.64

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Solution

The fourth proportional to 990.26, 1,365.46 and 842.64 is: 1,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.26 : 1,365.46 = 842.64 : x
  2. Step 2: Convert to fraction form
    990.26/1,365.46 = 842.64/x
  3. Step 3: Cross multiply
    990.26x = 1,365.46 × 842.64
  4. Step 4: Simplify right side
    990.26x = 1,150,583.99
  5. Step 5: Solve for x
    x = 1,150,583.99/990.26
  6. Step 6: Final answer
    x = 1,161.90

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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.