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Finding the Fourth Proportional to 808.55, 1,209.47 and 759.33

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Solution

The fourth proportional to 808.55, 1,209.47 and 759.33 is: 1,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.55 : 1,209.47 = 759.33 : x
  2. Step 2: Convert to fraction form
    808.55/1,209.47 = 759.33/x
  3. Step 3: Cross multiply
    808.55x = 1,209.47 × 759.33
  4. Step 4: Simplify right side
    808.55x = 918,383.06
  5. Step 5: Solve for x
    x = 918,383.06/808.55
  6. Step 6: Final answer
    x = 1,135.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.