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Finding the Fourth Proportional to 976.63, 1,353.41 and 958.17

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Solution

The fourth proportional to 976.63, 1,353.41 and 958.17 is: 1,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.63 : 1,353.41 = 958.17 : x
  2. Step 2: Convert to fraction form
    976.63/1,353.41 = 958.17/x
  3. Step 3: Cross multiply
    976.63x = 1,353.41 × 958.17
  4. Step 4: Simplify right side
    976.63x = 1,296,796.86
  5. Step 5: Solve for x
    x = 1,296,796.86/976.63
  6. Step 6: Final answer
    x = 1,327.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.