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Finding the Fourth Proportional to 722.14, 997.17 and 685.23

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Solution

The fourth proportional to 722.14, 997.17 and 685.23 is: 946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.14 : 997.17 = 685.23 : x
  2. Step 2: Convert to fraction form
    722.14/997.17 = 685.23/x
  3. Step 3: Cross multiply
    722.14x = 997.17 × 685.23
  4. Step 4: Simplify right side
    722.14x = 683,290.80
  5. Step 5: Solve for x
    x = 683,290.80/722.14
  6. Step 6: Final answer
    x = 946.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.