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Finding the Fourth Proportional to 930.84, 1,283.49 and 849.48

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Solution

The fourth proportional to 930.84, 1,283.49 and 849.48 is: 1,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.84 : 1,283.49 = 849.48 : x
  2. Step 2: Convert to fraction form
    930.84/1,283.49 = 849.48/x
  3. Step 3: Cross multiply
    930.84x = 1,283.49 × 849.48
  4. Step 4: Simplify right side
    930.84x = 1,090,299.09
  5. Step 5: Solve for x
    x = 1,090,299.09/930.84
  6. Step 6: Final answer
    x = 1,171.31

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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.