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Finding the Fourth Proportional to 1,081.11, 1,492.29 and 708.33

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Solution

The fourth proportional to 1,081.11, 1,492.29 and 708.33 is: 977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.11 : 1,492.29 = 708.33 : x
  2. Step 2: Convert to fraction form
    1,081.11/1,492.29 = 708.33/x
  3. Step 3: Cross multiply
    1,081.11x = 1,492.29 × 708.33
  4. Step 4: Simplify right side
    1,081.11x = 1,057,033.78
  5. Step 5: Solve for x
    x = 1,057,033.78/1,081.11
  6. Step 6: Final answer
    x = 977.73

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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.