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Finding the Fourth Proportional to 722.12, 1,082.46 and 311.08

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Solution

The fourth proportional to 722.12, 1,082.46 and 311.08 is: 466.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.12 : 1,082.46 = 311.08 : x
  2. Step 2: Convert to fraction form
    722.12/1,082.46 = 311.08/x
  3. Step 3: Cross multiply
    722.12x = 1,082.46 × 311.08
  4. Step 4: Simplify right side
    722.12x = 336,731.66
  5. Step 5: Solve for x
    x = 336,731.66/722.12
  6. Step 6: Final answer
    x = 466.31

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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.