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Finding the Fourth Proportional to 574.66, 791.94 and 518.06

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Solution

The fourth proportional to 574.66, 791.94 and 518.06 is: 713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.66 : 791.94 = 518.06 : x
  2. Step 2: Convert to fraction form
    574.66/791.94 = 518.06/x
  3. Step 3: Cross multiply
    574.66x = 791.94 × 518.06
  4. Step 4: Simplify right side
    574.66x = 410,271.90
  5. Step 5: Solve for x
    x = 410,271.90/574.66
  6. Step 6: Final answer
    x = 713.94

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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.