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Finding the Fourth Proportional to 1,083.64, 1,495.05 and 611.48

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Solution

The fourth proportional to 1,083.64, 1,495.05 and 611.48 is: 843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.64 : 1,495.05 = 611.48 : x
  2. Step 2: Convert to fraction form
    1,083.64/1,495.05 = 611.48/x
  3. Step 3: Cross multiply
    1,083.64x = 1,495.05 × 611.48
  4. Step 4: Simplify right side
    1,083.64x = 914,185.70
  5. Step 5: Solve for x
    x = 914,185.70/1,083.64
  6. Step 6: Final answer
    x = 843.62

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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.