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Finding the Fourth Proportional to 1,079.12, 1,610.82 and 998.88

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Solution

The fourth proportional to 1,079.12, 1,610.82 and 998.88 is: 1,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.12 : 1,610.82 = 998.88 : x
  2. Step 2: Convert to fraction form
    1,079.12/1,610.82 = 998.88/x
  3. Step 3: Cross multiply
    1,079.12x = 1,610.82 × 998.88
  4. Step 4: Simplify right side
    1,079.12x = 1,609,015.88
  5. Step 5: Solve for x
    x = 1,609,015.88/1,079.12
  6. Step 6: Final answer
    x = 1,491.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.