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Finding the Fourth Proportional to 1,012.92, 1,512.86 and 828.24

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Solution

The fourth proportional to 1,012.92, 1,512.86 and 828.24 is: 1,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.92 : 1,512.86 = 828.24 : x
  2. Step 2: Convert to fraction form
    1,012.92/1,512.86 = 828.24/x
  3. Step 3: Cross multiply
    1,012.92x = 1,512.86 × 828.24
  4. Step 4: Simplify right side
    1,012.92x = 1,253,007.03
  5. Step 5: Solve for x
    x = 1,253,007.03/1,012.92
  6. Step 6: Final answer
    x = 1,237.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.