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Finding the Fourth Proportional to 979.82, 1,351.99 and 648.13

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Solution

The fourth proportional to 979.82, 1,351.99 and 648.13 is: 894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.82 : 1,351.99 = 648.13 : x
  2. Step 2: Convert to fraction form
    979.82/1,351.99 = 648.13/x
  3. Step 3: Cross multiply
    979.82x = 1,351.99 × 648.13
  4. Step 4: Simplify right side
    979.82x = 876,260.28
  5. Step 5: Solve for x
    x = 876,260.28/979.82
  6. Step 6: Final answer
    x = 894.31

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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.