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Finding the Fourth Proportional to 976.99, 1,347.42 and 879.79

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Solution

The fourth proportional to 976.99, 1,347.42 and 879.79 is: 1,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.99 : 1,347.42 = 879.79 : x
  2. Step 2: Convert to fraction form
    976.99/1,347.42 = 879.79/x
  3. Step 3: Cross multiply
    976.99x = 1,347.42 × 879.79
  4. Step 4: Simplify right side
    976.99x = 1,185,446.64
  5. Step 5: Solve for x
    x = 1,185,446.64/976.99
  6. Step 6: Final answer
    x = 1,213.37

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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.