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Finding the Fourth Proportional to 811.97, 1,120.59 and 480.47

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Solution

The fourth proportional to 811.97, 1,120.59 and 480.47 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.97 : 1,120.59 = 480.47 : x
  2. Step 2: Convert to fraction form
    811.97/1,120.59 = 480.47/x
  3. Step 3: Cross multiply
    811.97x = 1,120.59 × 480.47
  4. Step 4: Simplify right side
    811.97x = 538,409.88
  5. Step 5: Solve for x
    x = 538,409.88/811.97
  6. Step 6: Final answer
    x = 663.09

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Double scale
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1.5x scale

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.