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Finding the Fourth Proportional to 779.25, 1,163.18 and 687.00

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Solution

The fourth proportional to 779.25, 1,163.18 and 687.00 is: 1,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.25 : 1,163.18 = 687.00 : x
  2. Step 2: Convert to fraction form
    779.25/1,163.18 = 687.00/x
  3. Step 3: Cross multiply
    779.25x = 1,163.18 × 687.00
  4. Step 4: Simplify right side
    779.25x = 799,100.33
  5. Step 5: Solve for x
    x = 799,100.33/779.25
  6. Step 6: Final answer
    x = 1,025.47

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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.