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Finding the Fourth Proportional to 856.12, 1,186.90 and 826.09

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Solution

The fourth proportional to 856.12, 1,186.90 and 826.09 is: 1,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.12 : 1,186.90 = 826.09 : x
  2. Step 2: Convert to fraction form
    856.12/1,186.90 = 826.09/x
  3. Step 3: Cross multiply
    856.12x = 1,186.90 × 826.09
  4. Step 4: Simplify right side
    856.12x = 980,486.22
  5. Step 5: Solve for x
    x = 980,486.22/856.12
  6. Step 6: Final answer
    x = 1,145.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.