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Finding the Fourth Proportional to 984.94, 1,356.67 and 827.39

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Solution

The fourth proportional to 984.94, 1,356.67 and 827.39 is: 1,139.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.94 : 1,356.67 = 827.39 : x
  2. Step 2: Convert to fraction form
    984.94/1,356.67 = 827.39/x
  3. Step 3: Cross multiply
    984.94x = 1,356.67 × 827.39
  4. Step 4: Simplify right side
    984.94x = 1,122,495.19
  5. Step 5: Solve for x
    x = 1,122,495.19/984.94
  6. Step 6: Final answer
    x = 1,139.66

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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.