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Finding the Fourth Proportional to 582.26, 877.40 and 481.81

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Solution

The fourth proportional to 582.26, 877.40 and 481.81 is: 726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.26 : 877.40 = 481.81 : x
  2. Step 2: Convert to fraction form
    582.26/877.40 = 481.81/x
  3. Step 3: Cross multiply
    582.26x = 877.40 × 481.81
  4. Step 4: Simplify right side
    582.26x = 422,740.09
  5. Step 5: Solve for x
    x = 422,740.09/582.26
  6. Step 6: Final answer
    x = 726.03

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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.