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Finding the Fourth Proportional to 975.56, 1,343.22 and 845.96

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Solution

The fourth proportional to 975.56, 1,343.22 and 845.96 is: 1,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.56 : 1,343.22 = 845.96 : x
  2. Step 2: Convert to fraction form
    975.56/1,343.22 = 845.96/x
  3. Step 3: Cross multiply
    975.56x = 1,343.22 × 845.96
  4. Step 4: Simplify right side
    975.56x = 1,136,310.39
  5. Step 5: Solve for x
    x = 1,136,310.39/975.56
  6. Step 6: Final answer
    x = 1,164.78

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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.