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Finding the Fourth Proportional to 984.94, 1,469.08 and 927.83

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Solution

The fourth proportional to 984.94, 1,469.08 and 927.83 is: 1,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.94 : 1,469.08 = 927.83 : x
  2. Step 2: Convert to fraction form
    984.94/1,469.08 = 927.83/x
  3. Step 3: Cross multiply
    984.94x = 1,469.08 × 927.83
  4. Step 4: Simplify right side
    984.94x = 1,363,056.50
  5. Step 5: Solve for x
    x = 1,363,056.50/984.94
  6. Step 6: Final answer
    x = 1,383.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.