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Finding the Fourth Proportional to 812.23, 1,120.71 and 480.49

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Solution

The fourth proportional to 812.23, 1,120.71 and 480.49 is: 662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.23 : 1,120.71 = 480.49 : x
  2. Step 2: Convert to fraction form
    812.23/1,120.71 = 480.49/x
  3. Step 3: Cross multiply
    812.23x = 1,120.71 × 480.49
  4. Step 4: Simplify right side
    812.23x = 538,489.95
  5. Step 5: Solve for x
    x = 538,489.95/812.23
  6. Step 6: Final answer
    x = 662.98

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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.