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Finding the Fourth Proportional to 811.99, 1,120.26 and 480.43

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Solution

The fourth proportional to 811.99, 1,120.26 and 480.43 is: 662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.99 : 1,120.26 = 480.43 : x
  2. Step 2: Convert to fraction form
    811.99/1,120.26 = 480.43/x
  3. Step 3: Cross multiply
    811.99x = 1,120.26 × 480.43
  4. Step 4: Simplify right side
    811.99x = 538,206.51
  5. Step 5: Solve for x
    x = 538,206.51/811.99
  6. Step 6: Final answer
    x = 662.82

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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.