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Finding the Fourth Proportional to 1,195.80, 1,649.50 and 842.23

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Solution

The fourth proportional to 1,195.80, 1,649.50 and 842.23 is: 1,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.80 : 1,649.50 = 842.23 : x
  2. Step 2: Convert to fraction form
    1,195.80/1,649.50 = 842.23/x
  3. Step 3: Cross multiply
    1,195.80x = 1,649.50 × 842.23
  4. Step 4: Simplify right side
    1,195.80x = 1,389,263.52
  5. Step 5: Solve for x
    x = 1,389,263.52/1,195.80
  6. Step 6: Final answer
    x = 1,161.79

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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.