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Finding the Fourth Proportional to 1,207.22, 1,809.94 and 816.26

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Solution

The fourth proportional to 1,207.22, 1,809.94 and 816.26 is: 1,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.22 : 1,809.94 = 816.26 : x
  2. Step 2: Convert to fraction form
    1,207.22/1,809.94 = 816.26/x
  3. Step 3: Cross multiply
    1,207.22x = 1,809.94 × 816.26
  4. Step 4: Simplify right side
    1,207.22x = 1,477,381.62
  5. Step 5: Solve for x
    x = 1,477,381.62/1,207.22
  6. Step 6: Final answer
    x = 1,223.79

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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.