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Finding the Fourth Proportional to 984.49, 1,357.34 and 806.80

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Solution

The fourth proportional to 984.49, 1,357.34 and 806.80 is: 1,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.49 : 1,357.34 = 806.80 : x
  2. Step 2: Convert to fraction form
    984.49/1,357.34 = 806.80/x
  3. Step 3: Cross multiply
    984.49x = 1,357.34 × 806.80
  4. Step 4: Simplify right side
    984.49x = 1,095,094.48
  5. Step 5: Solve for x
    x = 1,095,094.48/984.49
  6. Step 6: Final answer
    x = 1,112.35

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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.