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Finding the Fourth Proportional to 1,776.26, 2,663.44 and 679.99

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Solution

The fourth proportional to 1,776.26, 2,663.44 and 679.99 is: 1,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.26 : 2,663.44 = 679.99 : x
  2. Step 2: Convert to fraction form
    1,776.26/2,663.44 = 679.99/x
  3. Step 3: Cross multiply
    1,776.26x = 2,663.44 × 679.99
  4. Step 4: Simplify right side
    1,776.26x = 1,811,112.57
  5. Step 5: Solve for x
    x = 1,811,112.57/1,776.26
  6. Step 6: Final answer
    x = 1,019.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.