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Finding the Fourth Proportional to 722.61, 1,083 and 311.27

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Solution

The fourth proportional to 722.61, 1,083 and 311.27 is: 466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.61 : 1,083 = 311.27 : x
  2. Step 2: Convert to fraction form
    722.61/1,083 = 311.27/x
  3. Step 3: Cross multiply
    722.61x = 1,083 × 311.27
  4. Step 4: Simplify right side
    722.61x = 337,105.41
  5. Step 5: Solve for x
    x = 337,105.41/722.61
  6. Step 6: Final answer
    x = 466.51

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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.