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Finding the Fourth Proportional to 722.33, 996.67 and 411.93

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Solution

The fourth proportional to 722.33, 996.67 and 411.93 is: 568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.33 : 996.67 = 411.93 : x
  2. Step 2: Convert to fraction form
    722.33/996.67 = 411.93/x
  3. Step 3: Cross multiply
    722.33x = 996.67 × 411.93
  4. Step 4: Simplify right side
    722.33x = 410,556.21
  5. Step 5: Solve for x
    x = 410,556.21/722.33
  6. Step 6: Final answer
    x = 568.38

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1.5x scale

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.