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Finding the Fourth Proportional to 1,290.92, 1,782.09 and 825.44

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Solution

The fourth proportional to 1,290.92, 1,782.09 and 825.44 is: 1,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.92 : 1,782.09 = 825.44 : x
  2. Step 2: Convert to fraction form
    1,290.92/1,782.09 = 825.44/x
  3. Step 3: Cross multiply
    1,290.92x = 1,782.09 × 825.44
  4. Step 4: Simplify right side
    1,290.92x = 1,470,999.46
  5. Step 5: Solve for x
    x = 1,470,999.46/1,290.92
  6. Step 6: Final answer
    x = 1,139.50

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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.