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Finding the Fourth Proportional to 990.45, 1,365.71 and 843.57

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Solution

The fourth proportional to 990.45, 1,365.71 and 843.57 is: 1,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.45 : 1,365.71 = 843.57 : x
  2. Step 2: Convert to fraction form
    990.45/1,365.71 = 843.57/x
  3. Step 3: Cross multiply
    990.45x = 1,365.71 × 843.57
  4. Step 4: Simplify right side
    990.45x = 1,152,067.77
  5. Step 5: Solve for x
    x = 1,152,067.77/990.45
  6. Step 6: Final answer
    x = 1,163.18

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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.