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Finding the Fourth Proportional to 829.09, 1,142.94 and 579.63

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Solution

The fourth proportional to 829.09, 1,142.94 and 579.63 is: 799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.09 : 1,142.94 = 579.63 : x
  2. Step 2: Convert to fraction form
    829.09/1,142.94 = 579.63/x
  3. Step 3: Cross multiply
    829.09x = 1,142.94 × 579.63
  4. Step 4: Simplify right side
    829.09x = 662,480.67
  5. Step 5: Solve for x
    x = 662,480.67/829.09
  6. Step 6: Final answer
    x = 799.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.