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Finding the Fourth Proportional to 779.82, 1,164.02 and 687.56

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Solution

The fourth proportional to 779.82, 1,164.02 and 687.56 is: 1,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.82 : 1,164.02 = 687.56 : x
  2. Step 2: Convert to fraction form
    779.82/1,164.02 = 687.56/x
  3. Step 3: Cross multiply
    779.82x = 1,164.02 × 687.56
  4. Step 4: Simplify right side
    779.82x = 800,324.33
  5. Step 5: Solve for x
    x = 800,324.33/779.82
  6. Step 6: Final answer
    x = 1,026.30

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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.