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Finding the Fourth Proportional to 829.04, 1,243.76 and 281.21

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Solution

The fourth proportional to 829.04, 1,243.76 and 281.21 is: 421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.04 : 1,243.76 = 281.21 : x
  2. Step 2: Convert to fraction form
    829.04/1,243.76 = 281.21/x
  3. Step 3: Cross multiply
    829.04x = 1,243.76 × 281.21
  4. Step 4: Simplify right side
    829.04x = 349,750.12
  5. Step 5: Solve for x
    x = 349,750.12/829.04
  6. Step 6: Final answer
    x = 421.88

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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.