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Finding the Fourth Proportional to 722.27, 1,083.33 and 311.33

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Solution

The fourth proportional to 722.27, 1,083.33 and 311.33 is: 466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.27 : 1,083.33 = 311.33 : x
  2. Step 2: Convert to fraction form
    722.27/1,083.33 = 311.33/x
  3. Step 3: Cross multiply
    722.27x = 1,083.33 × 311.33
  4. Step 4: Simplify right side
    722.27x = 337,267.71
  5. Step 5: Solve for x
    x = 337,267.71/722.27
  6. Step 6: Final answer
    x = 466.96

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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.