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Finding the Fourth Proportional to 829.01, 1,243.87 and 281.25

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Solution

The fourth proportional to 829.01, 1,243.87 and 281.25 is: 422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.01 : 1,243.87 = 281.25 : x
  2. Step 2: Convert to fraction form
    829.01/1,243.87 = 281.25/x
  3. Step 3: Cross multiply
    829.01x = 1,243.87 × 281.25
  4. Step 4: Simplify right side
    829.01x = 349,838.44
  5. Step 5: Solve for x
    x = 349,838.44/829.01
  6. Step 6: Final answer
    x = 422.00

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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.