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Finding the Fourth Proportional to 1,085.04, 1,627.92 and 828

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Solution

The fourth proportional to 1,085.04, 1,627.92 and 828 is: 1,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.04 : 1,627.92 = 828 : x
  2. Step 2: Convert to fraction form
    1,085.04/1,627.92 = 828/x
  3. Step 3: Cross multiply
    1,085.04x = 1,627.92 × 828
  4. Step 4: Simplify right side
    1,085.04x = 1,347,917.76
  5. Step 5: Solve for x
    x = 1,347,917.76/1,085.04
  6. Step 6: Final answer
    x = 1,242.27

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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.