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Finding the Fourth Proportional to 786.12, 1,077.63 and 778.86

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Solution

The fourth proportional to 786.12, 1,077.63 and 778.86 is: 1,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.12 : 1,077.63 = 778.86 : x
  2. Step 2: Convert to fraction form
    786.12/1,077.63 = 778.86/x
  3. Step 3: Cross multiply
    786.12x = 1,077.63 × 778.86
  4. Step 4: Simplify right side
    786.12x = 839,322.90
  5. Step 5: Solve for x
    x = 839,322.90/786.12
  6. Step 6: Final answer
    x = 1,067.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.