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Finding the Fourth Proportional to 779.91, 1,068.09 and 769.68

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Solution

The fourth proportional to 779.91, 1,068.09 and 769.68 is: 1,054.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.91 : 1,068.09 = 769.68 : x
  2. Step 2: Convert to fraction form
    779.91/1,068.09 = 769.68/x
  3. Step 3: Cross multiply
    779.91x = 1,068.09 × 769.68
  4. Step 4: Simplify right side
    779.91x = 822,087.51
  5. Step 5: Solve for x
    x = 822,087.51/779.91
  6. Step 6: Final answer
    x = 1,054.08

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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.