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Finding the Fourth Proportional to 829.91, 1,146.28 and 605.49

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Solution

The fourth proportional to 829.91, 1,146.28 and 605.49 is: 836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.91 : 1,146.28 = 605.49 : x
  2. Step 2: Convert to fraction form
    829.91/1,146.28 = 605.49/x
  3. Step 3: Cross multiply
    829.91x = 1,146.28 × 605.49
  4. Step 4: Simplify right side
    829.91x = 694,059.56
  5. Step 5: Solve for x
    x = 694,059.56/829.91
  6. Step 6: Final answer
    x = 836.31

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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.