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Finding the Fourth Proportional to 1,105.36, 1,524.34 and 842.92

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Solution

The fourth proportional to 1,105.36, 1,524.34 and 842.92 is: 1,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.36 : 1,524.34 = 842.92 : x
  2. Step 2: Convert to fraction form
    1,105.36/1,524.34 = 842.92/x
  3. Step 3: Cross multiply
    1,105.36x = 1,524.34 × 842.92
  4. Step 4: Simplify right side
    1,105.36x = 1,284,896.67
  5. Step 5: Solve for x
    x = 1,284,896.67/1,105.36
  6. Step 6: Final answer
    x = 1,162.42

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1.5x scale

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.