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Finding the Fourth Proportional to 1,271.12, 1,753.08 and 828.68

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Solution

The fourth proportional to 1,271.12, 1,753.08 and 828.68 is: 1,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.12 : 1,753.08 = 828.68 : x
  2. Step 2: Convert to fraction form
    1,271.12/1,753.08 = 828.68/x
  3. Step 3: Cross multiply
    1,271.12x = 1,753.08 × 828.68
  4. Step 4: Simplify right side
    1,271.12x = 1,452,742.33
  5. Step 5: Solve for x
    x = 1,452,742.33/1,271.12
  6. Step 6: Final answer
    x = 1,142.88

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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.