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Finding the Fourth Proportional to 573.39, 791.46 and 442.17

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Solution

The fourth proportional to 573.39, 791.46 and 442.17 is: 610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.39 : 791.46 = 442.17 : x
  2. Step 2: Convert to fraction form
    573.39/791.46 = 442.17/x
  3. Step 3: Cross multiply
    573.39x = 791.46 × 442.17
  4. Step 4: Simplify right side
    573.39x = 349,959.87
  5. Step 5: Solve for x
    x = 349,959.87/573.39
  6. Step 6: Final answer
    x = 610.33

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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.