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Finding the Fourth Proportional to 947.11, 1,304.31 and 813.28

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Solution

The fourth proportional to 947.11, 1,304.31 and 813.28 is: 1,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.11 : 1,304.31 = 813.28 : x
  2. Step 2: Convert to fraction form
    947.11/1,304.31 = 813.28/x
  3. Step 3: Cross multiply
    947.11x = 1,304.31 × 813.28
  4. Step 4: Simplify right side
    947.11x = 1,060,769.24
  5. Step 5: Solve for x
    x = 1,060,769.24/947.11
  6. Step 6: Final answer
    x = 1,120.01

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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.