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Finding the Fourth Proportional to 829.04, 1,243.70 and 412.60

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Solution

The fourth proportional to 829.04, 1,243.70 and 412.60 is: 618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.04 : 1,243.70 = 412.60 : x
  2. Step 2: Convert to fraction form
    829.04/1,243.70 = 412.60/x
  3. Step 3: Cross multiply
    829.04x = 1,243.70 × 412.60
  4. Step 4: Simplify right side
    829.04x = 513,147.51
  5. Step 5: Solve for x
    x = 513,147.51/829.04
  6. Step 6: Final answer
    x = 618.97

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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.