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Finding the Fourth Proportional to 722.19, 1,083.34 and 311.36

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Solution

The fourth proportional to 722.19, 1,083.34 and 311.36 is: 467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.19 : 1,083.34 = 311.36 : x
  2. Step 2: Convert to fraction form
    722.19/1,083.34 = 311.36/x
  3. Step 3: Cross multiply
    722.19x = 1,083.34 × 311.36
  4. Step 4: Simplify right side
    722.19x = 337,303.71
  5. Step 5: Solve for x
    x = 337,303.71/722.19
  6. Step 6: Final answer
    x = 467.05

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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.