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Finding the Fourth Proportional to 1,080.78, 1,484.30 and 905.82

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Solution

The fourth proportional to 1,080.78, 1,484.30 and 905.82 is: 1,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.78 : 1,484.30 = 905.82 : x
  2. Step 2: Convert to fraction form
    1,080.78/1,484.30 = 905.82/x
  3. Step 3: Cross multiply
    1,080.78x = 1,484.30 × 905.82
  4. Step 4: Simplify right side
    1,080.78x = 1,344,504.10
  5. Step 5: Solve for x
    x = 1,344,504.10/1,080.78
  6. Step 6: Final answer
    x = 1,244.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.