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Finding the Fourth Proportional to 811.62, 1,120.20 and 480.03

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Solution

The fourth proportional to 811.62, 1,120.20 and 480.03 is: 662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.62 : 1,120.20 = 480.03 : x
  2. Step 2: Convert to fraction form
    811.62/1,120.20 = 480.03/x
  3. Step 3: Cross multiply
    811.62x = 1,120.20 × 480.03
  4. Step 4: Simplify right side
    811.62x = 537,729.61
  5. Step 5: Solve for x
    x = 537,729.61/811.62
  6. Step 6: Final answer
    x = 662.54

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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.