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Finding the Fourth Proportional to 582.06, 877.09 and 481.60

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Solution

The fourth proportional to 582.06, 877.09 and 481.60 is: 725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.06 : 877.09 = 481.60 : x
  2. Step 2: Convert to fraction form
    582.06/877.09 = 481.60/x
  3. Step 3: Cross multiply
    582.06x = 877.09 × 481.60
  4. Step 4: Simplify right side
    582.06x = 422,406.54
  5. Step 5: Solve for x
    x = 422,406.54/582.06
  6. Step 6: Final answer
    x = 725.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.