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Finding the Fourth Proportional to 722.25, 1,084.59 and 685.26

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Solution

The fourth proportional to 722.25, 1,084.59 and 685.26 is: 1,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.25 : 1,084.59 = 685.26 : x
  2. Step 2: Convert to fraction form
    722.25/1,084.59 = 685.26/x
  3. Step 3: Cross multiply
    722.25x = 1,084.59 × 685.26
  4. Step 4: Simplify right side
    722.25x = 743,220.72
  5. Step 5: Solve for x
    x = 743,220.72/722.25
  6. Step 6: Final answer
    x = 1,029.04

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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.