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Finding the Fourth Proportional to 829.89, 1,245.15 and 419.33

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Solution

The fourth proportional to 829.89, 1,245.15 and 419.33 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.89 : 1,245.15 = 419.33 : x
  2. Step 2: Convert to fraction form
    829.89/1,245.15 = 419.33/x
  3. Step 3: Cross multiply
    829.89x = 1,245.15 × 419.33
  4. Step 4: Simplify right side
    829.89x = 522,131.86
  5. Step 5: Solve for x
    x = 522,131.86/829.89
  6. Step 6: Final answer
    x = 629.16

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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.