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Finding the Fourth Proportional to 829.90, 1,245.45 and 343.30

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Solution

The fourth proportional to 829.90, 1,245.45 and 343.30 is: 515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.90 : 1,245.45 = 343.30 : x
  2. Step 2: Convert to fraction form
    829.90/1,245.45 = 343.30/x
  3. Step 3: Cross multiply
    829.90x = 1,245.45 × 343.30
  4. Step 4: Simplify right side
    829.90x = 427,562.99
  5. Step 5: Solve for x
    x = 427,562.99/829.90
  6. Step 6: Final answer
    x = 515.20

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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.