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Finding the Fourth Proportional to 947.56, 1,306.69 and 892.88

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Solution

The fourth proportional to 947.56, 1,306.69 and 892.88 is: 1,231.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.56 : 1,306.69 = 892.88 : x
  2. Step 2: Convert to fraction form
    947.56/1,306.69 = 892.88/x
  3. Step 3: Cross multiply
    947.56x = 1,306.69 × 892.88
  4. Step 4: Simplify right side
    947.56x = 1,166,717.37
  5. Step 5: Solve for x
    x = 1,166,717.37/947.56
  6. Step 6: Final answer
    x = 1,231.29

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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.