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Finding the Fourth Proportional to 829.15, 1,243.82 and 281.18

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Solution

The fourth proportional to 829.15, 1,243.82 and 281.18 is: 421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.15 : 1,243.82 = 281.18 : x
  2. Step 2: Convert to fraction form
    829.15/1,243.82 = 281.18/x
  3. Step 3: Cross multiply
    829.15x = 1,243.82 × 281.18
  4. Step 4: Simplify right side
    829.15x = 349,741.12
  5. Step 5: Solve for x
    x = 349,741.12/829.15
  6. Step 6: Final answer
    x = 421.81

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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.