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Finding the Fourth Proportional to 829.83, 1,243.02 and 568.62

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Solution

The fourth proportional to 829.83, 1,243.02 and 568.62 is: 851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.83 : 1,243.02 = 568.62 : x
  2. Step 2: Convert to fraction form
    829.83/1,243.02 = 568.62/x
  3. Step 3: Cross multiply
    829.83x = 1,243.02 × 568.62
  4. Step 4: Simplify right side
    829.83x = 706,806.03
  5. Step 5: Solve for x
    x = 706,806.03/829.83
  6. Step 6: Final answer
    x = 851.75

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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.