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Finding the Fourth Proportional to 786.87, 1,086.66 and 648.36

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Solution

The fourth proportional to 786.87, 1,086.66 and 648.36 is: 895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.87 : 1,086.66 = 648.36 : x
  2. Step 2: Convert to fraction form
    786.87/1,086.66 = 648.36/x
  3. Step 3: Cross multiply
    786.87x = 1,086.66 × 648.36
  4. Step 4: Simplify right side
    786.87x = 704,546.88
  5. Step 5: Solve for x
    x = 704,546.88/786.87
  6. Step 6: Final answer
    x = 895.38

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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.