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Finding the Fourth Proportional to 1,201.75, 1,657.69 and 828.71

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Solution

The fourth proportional to 1,201.75, 1,657.69 and 828.71 is: 1,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.75 : 1,657.69 = 828.71 : x
  2. Step 2: Convert to fraction form
    1,201.75/1,657.69 = 828.71/x
  3. Step 3: Cross multiply
    1,201.75x = 1,657.69 × 828.71
  4. Step 4: Simplify right side
    1,201.75x = 1,373,744.28
  5. Step 5: Solve for x
    x = 1,373,744.28/1,201.75
  6. Step 6: Final answer
    x = 1,143.12

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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.