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Finding the Fourth Proportional to 1,482.20, 2,046.09 and 884.90

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Solution

The fourth proportional to 1,482.20, 2,046.09 and 884.90 is: 1,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.20 : 2,046.09 = 884.90 : x
  2. Step 2: Convert to fraction form
    1,482.20/2,046.09 = 884.90/x
  3. Step 3: Cross multiply
    1,482.20x = 2,046.09 × 884.90
  4. Step 4: Simplify right side
    1,482.20x = 1,810,585.04
  5. Step 5: Solve for x
    x = 1,810,585.04/1,482.20
  6. Step 6: Final answer
    x = 1,221.55

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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.