Home / 1,081.20-1,622.14-456.78

Finding the Fourth Proportional to 1,081.20, 1,622.14 and 456.78

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Solution

The fourth proportional to 1,081.20, 1,622.14 and 456.78 is: 685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.20 : 1,622.14 = 456.78 : x
  2. Step 2: Convert to fraction form
    1,081.20/1,622.14 = 456.78/x
  3. Step 3: Cross multiply
    1,081.20x = 1,622.14 × 456.78
  4. Step 4: Simplify right side
    1,081.20x = 740,961.11
  5. Step 5: Solve for x
    x = 740,961.11/1,081.20
  6. Step 6: Final answer
    x = 685.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.