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Finding the Fourth Proportional to 959.85, 1,327.19 and 836.83

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Solution

The fourth proportional to 959.85, 1,327.19 and 836.83 is: 1,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.85 : 1,327.19 = 836.83 : x
  2. Step 2: Convert to fraction form
    959.85/1,327.19 = 836.83/x
  3. Step 3: Cross multiply
    959.85x = 1,327.19 × 836.83
  4. Step 4: Simplify right side
    959.85x = 1,110,629.88
  5. Step 5: Solve for x
    x = 1,110,629.88/959.85
  6. Step 6: Final answer
    x = 1,157.09

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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.