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Finding the Fourth Proportional to 842.60, 1,251.69 and 828.20

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Solution

The fourth proportional to 842.60, 1,251.69 and 828.20 is: 1,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.60 : 1,251.69 = 828.20 : x
  2. Step 2: Convert to fraction form
    842.60/1,251.69 = 828.20/x
  3. Step 3: Cross multiply
    842.60x = 1,251.69 × 828.20
  4. Step 4: Simplify right side
    842.60x = 1,036,649.66
  5. Step 5: Solve for x
    x = 1,036,649.66/842.60
  6. Step 6: Final answer
    x = 1,230.30

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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.