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Finding the Fourth Proportional to 976.37, 1,346.56 and 879.17

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Solution

The fourth proportional to 976.37, 1,346.56 and 879.17 is: 1,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.37 : 1,346.56 = 879.17 : x
  2. Step 2: Convert to fraction form
    976.37/1,346.56 = 879.17/x
  3. Step 3: Cross multiply
    976.37x = 1,346.56 × 879.17
  4. Step 4: Simplify right side
    976.37x = 1,183,846.22
  5. Step 5: Solve for x
    x = 1,183,846.22/976.37
  6. Step 6: Final answer
    x = 1,212.50

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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.