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Finding the Fourth Proportional to 979.84, 1,351.68 and 806.56

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Solution

The fourth proportional to 979.84, 1,351.68 and 806.56 is: 1,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.84 : 1,351.68 = 806.56 : x
  2. Step 2: Convert to fraction form
    979.84/1,351.68 = 806.56/x
  3. Step 3: Cross multiply
    979.84x = 1,351.68 × 806.56
  4. Step 4: Simplify right side
    979.84x = 1,090,211.02
  5. Step 5: Solve for x
    x = 1,090,211.02/979.84
  6. Step 6: Final answer
    x = 1,112.64

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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.