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Finding the Fourth Proportional to 573.43, 791.40 and 324.76

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Solution

The fourth proportional to 573.43, 791.40 and 324.76 is: 448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.43 : 791.40 = 324.76 : x
  2. Step 2: Convert to fraction form
    573.43/791.40 = 324.76/x
  3. Step 3: Cross multiply
    573.43x = 791.40 × 324.76
  4. Step 4: Simplify right side
    573.43x = 257,015.06
  5. Step 5: Solve for x
    x = 257,015.06/573.43
  6. Step 6: Final answer
    x = 448.21

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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.