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Finding the Fourth Proportional to 1,083.10, 1,494.68 and 641.22

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Solution

The fourth proportional to 1,083.10, 1,494.68 and 641.22 is: 884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.10 : 1,494.68 = 641.22 : x
  2. Step 2: Convert to fraction form
    1,083.10/1,494.68 = 641.22/x
  3. Step 3: Cross multiply
    1,083.10x = 1,494.68 × 641.22
  4. Step 4: Simplify right side
    1,083.10x = 958,418.71
  5. Step 5: Solve for x
    x = 958,418.71/1,083.10
  6. Step 6: Final answer
    x = 884.88

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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.