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Finding the Fourth Proportional to 1,091.02, 1,504.02 and 828.58

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Solution

The fourth proportional to 1,091.02, 1,504.02 and 828.58 is: 1,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.02 : 1,504.02 = 828.58 : x
  2. Step 2: Convert to fraction form
    1,091.02/1,504.02 = 828.58/x
  3. Step 3: Cross multiply
    1,091.02x = 1,504.02 × 828.58
  4. Step 4: Simplify right side
    1,091.02x = 1,246,200.89
  5. Step 5: Solve for x
    x = 1,246,200.89/1,091.02
  6. Step 6: Final answer
    x = 1,142.23

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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.