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Finding the Fourth Proportional to 811.97, 1,120.61 and 480.48

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Solution

The fourth proportional to 811.97, 1,120.61 and 480.48 is: 663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.97 : 1,120.61 = 480.48 : x
  2. Step 2: Convert to fraction form
    811.97/1,120.61 = 480.48/x
  3. Step 3: Cross multiply
    811.97x = 1,120.61 × 480.48
  4. Step 4: Simplify right side
    811.97x = 538,430.69
  5. Step 5: Solve for x
    x = 538,430.69/811.97
  6. Step 6: Final answer
    x = 663.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.