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Finding the Fourth Proportional to 573.77, 791.77 and 325.09

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Solution

The fourth proportional to 573.77, 791.77 and 325.09 is: 448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.77 : 791.77 = 325.09 : x
  2. Step 2: Convert to fraction form
    573.77/791.77 = 325.09/x
  3. Step 3: Cross multiply
    573.77x = 791.77 × 325.09
  4. Step 4: Simplify right side
    573.77x = 257,396.51
  5. Step 5: Solve for x
    x = 257,396.51/573.77
  6. Step 6: Final answer
    x = 448.61

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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.