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Finding the Fourth Proportional to 601.77, 822.75 and 579.09

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Solution

The fourth proportional to 601.77, 822.75 and 579.09 is: 791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.77 : 822.75 = 579.09 : x
  2. Step 2: Convert to fraction form
    601.77/822.75 = 579.09/x
  3. Step 3: Cross multiply
    601.77x = 822.75 × 579.09
  4. Step 4: Simplify right side
    601.77x = 476,446.30
  5. Step 5: Solve for x
    x = 476,446.30/601.77
  6. Step 6: Final answer
    x = 791.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.