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Finding the Fourth Proportional to 1,161.63, 1,741.80 and 872.46

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Solution

The fourth proportional to 1,161.63, 1,741.80 and 872.46 is: 1,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.63 : 1,741.80 = 872.46 : x
  2. Step 2: Convert to fraction form
    1,161.63/1,741.80 = 872.46/x
  3. Step 3: Cross multiply
    1,161.63x = 1,741.80 × 872.46
  4. Step 4: Simplify right side
    1,161.63x = 1,519,650.83
  5. Step 5: Solve for x
    x = 1,519,650.83/1,161.63
  6. Step 6: Final answer
    x = 1,308.21

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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.