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Finding the Fourth Proportional to 976.82, 1,344.87 and 779.99

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Solution

The fourth proportional to 976.82, 1,344.87 and 779.99 is: 1,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.82 : 1,344.87 = 779.99 : x
  2. Step 2: Convert to fraction form
    976.82/1,344.87 = 779.99/x
  3. Step 3: Cross multiply
    976.82x = 1,344.87 × 779.99
  4. Step 4: Simplify right side
    976.82x = 1,048,978.43
  5. Step 5: Solve for x
    x = 1,048,978.43/976.82
  6. Step 6: Final answer
    x = 1,073.88

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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.