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Finding the Fourth Proportional to 786.83, 1,173.29 and 779.79

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Solution

The fourth proportional to 786.83, 1,173.29 and 779.79 is: 1,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.83 : 1,173.29 = 779.79 : x
  2. Step 2: Convert to fraction form
    786.83/1,173.29 = 779.79/x
  3. Step 3: Cross multiply
    786.83x = 1,173.29 × 779.79
  4. Step 4: Simplify right side
    786.83x = 914,921.76
  5. Step 5: Solve for x
    x = 914,921.76/786.83
  6. Step 6: Final answer
    x = 1,162.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.