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Finding the Fourth Proportional to 573.60, 791.40 and 408.24

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Solution

The fourth proportional to 573.60, 791.40 and 408.24 is: 563.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.60 : 791.40 = 408.24 : x
  2. Step 2: Convert to fraction form
    573.60/791.40 = 408.24/x
  3. Step 3: Cross multiply
    573.60x = 791.40 × 408.24
  4. Step 4: Simplify right side
    573.60x = 323,081.14
  5. Step 5: Solve for x
    x = 323,081.14/573.60
  6. Step 6: Final answer
    x = 563.25

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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.