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Finding the Fourth Proportional to 961.12, 1,326.09 and 812.35

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Solution

The fourth proportional to 961.12, 1,326.09 and 812.35 is: 1,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.12 : 1,326.09 = 812.35 : x
  2. Step 2: Convert to fraction form
    961.12/1,326.09 = 812.35/x
  3. Step 3: Cross multiply
    961.12x = 1,326.09 × 812.35
  4. Step 4: Simplify right side
    961.12x = 1,077,249.21
  5. Step 5: Solve for x
    x = 1,077,249.21/961.12
  6. Step 6: Final answer
    x = 1,120.83

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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.