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Finding the Fourth Proportional to 846.76, 1,161.37 and 832.68

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Solution

The fourth proportional to 846.76, 1,161.37 and 832.68 is: 1,142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.76 : 1,161.37 = 832.68 : x
  2. Step 2: Convert to fraction form
    846.76/1,161.37 = 832.68/x
  3. Step 3: Cross multiply
    846.76x = 1,161.37 × 832.68
  4. Step 4: Simplify right side
    846.76x = 967,049.57
  5. Step 5: Solve for x
    x = 967,049.57/846.76
  6. Step 6: Final answer
    x = 1,142.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.