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Finding the Fourth Proportional to 808.26, 1,212.58 and 345.80

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Solution

The fourth proportional to 808.26, 1,212.58 and 345.80 is: 518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.26 : 1,212.58 = 345.80 : x
  2. Step 2: Convert to fraction form
    808.26/1,212.58 = 345.80/x
  3. Step 3: Cross multiply
    808.26x = 1,212.58 × 345.80
  4. Step 4: Simplify right side
    808.26x = 419,304.10
  5. Step 5: Solve for x
    x = 419,304.10/808.26
  6. Step 6: Final answer
    x = 518.77

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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.