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Finding the Fourth Proportional to 1,083.14, 1,494.77 and 617.38

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Solution

The fourth proportional to 1,083.14, 1,494.77 and 617.38 is: 852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.14 : 1,494.77 = 617.38 : x
  2. Step 2: Convert to fraction form
    1,083.14/1,494.77 = 617.38/x
  3. Step 3: Cross multiply
    1,083.14x = 1,494.77 × 617.38
  4. Step 4: Simplify right side
    1,083.14x = 922,841.10
  5. Step 5: Solve for x
    x = 922,841.10/1,083.14
  6. Step 6: Final answer
    x = 852.01

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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.