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Finding the Fourth Proportional to 829.14, 1,239.96 and 621.06

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Solution

The fourth proportional to 829.14, 1,239.96 and 621.06 is: 928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.14 : 1,239.96 = 621.06 : x
  2. Step 2: Convert to fraction form
    829.14/1,239.96 = 621.06/x
  3. Step 3: Cross multiply
    829.14x = 1,239.96 × 621.06
  4. Step 4: Simplify right side
    829.14x = 770,089.56
  5. Step 5: Solve for x
    x = 770,089.56/829.14
  6. Step 6: Final answer
    x = 928.78

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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.