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Finding the Fourth Proportional to 1,231.00, 1,698.06 and 764.44

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Solution

The fourth proportional to 1,231.00, 1,698.06 and 764.44 is: 1,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.00 : 1,698.06 = 764.44 : x
  2. Step 2: Convert to fraction form
    1,231.00/1,698.06 = 764.44/x
  3. Step 3: Cross multiply
    1,231.00x = 1,698.06 × 764.44
  4. Step 4: Simplify right side
    1,231.00x = 1,298,063.61
  5. Step 5: Solve for x
    x = 1,298,063.61/1,231.00
  6. Step 6: Final answer
    x = 1,054.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.