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Finding the Fourth Proportional to 1,164.44, 1,747.80 and 947.56

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Solution

The fourth proportional to 1,164.44, 1,747.80 and 947.56 is: 1,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.44 : 1,747.80 = 947.56 : x
  2. Step 2: Convert to fraction form
    1,164.44/1,747.80 = 947.56/x
  3. Step 3: Cross multiply
    1,164.44x = 1,747.80 × 947.56
  4. Step 4: Simplify right side
    1,164.44x = 1,656,145.37
  5. Step 5: Solve for x
    x = 1,656,145.37/1,164.44
  6. Step 6: Final answer
    x = 1,422.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.