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Finding the Fourth Proportional to 574.07, 791.63 and 491.45

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Solution

The fourth proportional to 574.07, 791.63 and 491.45 is: 677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.07 : 791.63 = 491.45 : x
  2. Step 2: Convert to fraction form
    574.07/791.63 = 491.45/x
  3. Step 3: Cross multiply
    574.07x = 791.63 × 491.45
  4. Step 4: Simplify right side
    574.07x = 389,046.56
  5. Step 5: Solve for x
    x = 389,046.56/574.07
  6. Step 6: Final answer
    x = 677.70

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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.