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Finding the Fourth Proportional to 573.74, 791.79 and 325.05

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Solution

The fourth proportional to 573.74, 791.79 and 325.05 is: 448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.74 : 791.79 = 325.05 : x
  2. Step 2: Convert to fraction form
    573.74/791.79 = 325.05/x
  3. Step 3: Cross multiply
    573.74x = 791.79 × 325.05
  4. Step 4: Simplify right side
    573.74x = 257,369.71
  5. Step 5: Solve for x
    x = 257,369.71/573.74
  6. Step 6: Final answer
    x = 448.58

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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.