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Finding the Fourth Proportional to 808.29, 1,212.40 and 445.36

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Solution

The fourth proportional to 808.29, 1,212.40 and 445.36 is: 668.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.29 : 1,212.40 = 445.36 : x
  2. Step 2: Convert to fraction form
    808.29/1,212.40 = 445.36/x
  3. Step 3: Cross multiply
    808.29x = 1,212.40 × 445.36
  4. Step 4: Simplify right side
    808.29x = 539,954.46
  5. Step 5: Solve for x
    x = 539,954.46/808.29
  6. Step 6: Final answer
    x = 668.02

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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.