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Finding the Fourth Proportional to 851.11, 1,265.73 and 823.77

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Solution

The fourth proportional to 851.11, 1,265.73 and 823.77 is: 1,225.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.11 : 1,265.73 = 823.77 : x
  2. Step 2: Convert to fraction form
    851.11/1,265.73 = 823.77/x
  3. Step 3: Cross multiply
    851.11x = 1,265.73 × 823.77
  4. Step 4: Simplify right side
    851.11x = 1,042,667.31
  5. Step 5: Solve for x
    x = 1,042,667.31/851.11
  6. Step 6: Final answer
    x = 1,225.07

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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.