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Finding the Fourth Proportional to 1,105.80, 1,659.18 and 456.68

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Solution

The fourth proportional to 1,105.80, 1,659.18 and 456.68 is: 685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.80 : 1,659.18 = 456.68 : x
  2. Step 2: Convert to fraction form
    1,105.80/1,659.18 = 456.68/x
  3. Step 3: Cross multiply
    1,105.80x = 1,659.18 × 456.68
  4. Step 4: Simplify right side
    1,105.80x = 757,714.32
  5. Step 5: Solve for x
    x = 757,714.32/1,105.80
  6. Step 6: Final answer
    x = 685.22

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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.