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Finding the Fourth Proportional to 1,083.11, 1,494.69 and 611.00

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Solution

The fourth proportional to 1,083.11, 1,494.69 and 611.00 is: 843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.11 : 1,494.69 = 611.00 : x
  2. Step 2: Convert to fraction form
    1,083.11/1,494.69 = 611.00/x
  3. Step 3: Cross multiply
    1,083.11x = 1,494.69 × 611.00
  4. Step 4: Simplify right side
    1,083.11x = 913,263.27
  5. Step 5: Solve for x
    x = 913,263.27/1,083.11
  6. Step 6: Final answer
    x = 843.19

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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.