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Finding the Fourth Proportional to 947.81, 1,306.68 and 927.11

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Solution

The fourth proportional to 947.81, 1,306.68 and 927.11 is: 1,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.81 : 1,306.68 = 927.11 : x
  2. Step 2: Convert to fraction form
    947.81/1,306.68 = 927.11/x
  3. Step 3: Cross multiply
    947.81x = 1,306.68 × 927.11
  4. Step 4: Simplify right side
    947.81x = 1,211,436.09
  5. Step 5: Solve for x
    x = 1,211,436.09/947.81
  6. Step 6: Final answer
    x = 1,278.14

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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.