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Finding the Fourth Proportional to 976.44, 1,346.56 and 639.84

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Solution

The fourth proportional to 976.44, 1,346.56 and 639.84 is: 882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.44 : 1,346.56 = 639.84 : x
  2. Step 2: Convert to fraction form
    976.44/1,346.56 = 639.84/x
  3. Step 3: Cross multiply
    976.44x = 1,346.56 × 639.84
  4. Step 4: Simplify right side
    976.44x = 861,581.35
  5. Step 5: Solve for x
    x = 861,581.35/976.44
  6. Step 6: Final answer
    x = 882.37

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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.