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Finding the Fourth Proportional to 1,754.48, 2,627.94 and 828.64

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Solution

The fourth proportional to 1,754.48, 2,627.94 and 828.64 is: 1,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.48 : 2,627.94 = 828.64 : x
  2. Step 2: Convert to fraction form
    1,754.48/2,627.94 = 828.64/x
  3. Step 3: Cross multiply
    1,754.48x = 2,627.94 × 828.64
  4. Step 4: Simplify right side
    1,754.48x = 2,177,616.20
  5. Step 5: Solve for x
    x = 2,177,616.20/1,754.48
  6. Step 6: Final answer
    x = 1,241.17

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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.