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Finding the Fourth Proportional to 829.65, 1,245.12 and 343.11

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Solution

The fourth proportional to 829.65, 1,245.12 and 343.11 is: 514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.65 : 1,245.12 = 343.11 : x
  2. Step 2: Convert to fraction form
    829.65/1,245.12 = 343.11/x
  3. Step 3: Cross multiply
    829.65x = 1,245.12 × 343.11
  4. Step 4: Simplify right side
    829.65x = 427,213.12
  5. Step 5: Solve for x
    x = 427,213.12/829.65
  6. Step 6: Final answer
    x = 514.93

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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.