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Finding the Fourth Proportional to 902.17, 1,242.42 and 828.36

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Solution

The fourth proportional to 902.17, 1,242.42 and 828.36 is: 1,140.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.17 : 1,242.42 = 828.36 : x
  2. Step 2: Convert to fraction form
    902.17/1,242.42 = 828.36/x
  3. Step 3: Cross multiply
    902.17x = 1,242.42 × 828.36
  4. Step 4: Simplify right side
    902.17x = 1,029,171.03
  5. Step 5: Solve for x
    x = 1,029,171.03/902.17
  6. Step 6: Final answer
    x = 1,140.77

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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.