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Finding the Fourth Proportional to 947.28, 1,426.52 and 826.96

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Solution

The fourth proportional to 947.28, 1,426.52 and 826.96 is: 1,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.28 : 1,426.52 = 826.96 : x
  2. Step 2: Convert to fraction form
    947.28/1,426.52 = 826.96/x
  3. Step 3: Cross multiply
    947.28x = 1,426.52 × 826.96
  4. Step 4: Simplify right side
    947.28x = 1,179,674.98
  5. Step 5: Solve for x
    x = 1,179,674.98/947.28
  6. Step 6: Final answer
    x = 1,245.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.