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Finding the Fourth Proportional to 1,081.80, 1,492.74 and 708.66

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Solution

The fourth proportional to 1,081.80, 1,492.74 and 708.66 is: 977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.80 : 1,492.74 = 708.66 : x
  2. Step 2: Convert to fraction form
    1,081.80/1,492.74 = 708.66/x
  3. Step 3: Cross multiply
    1,081.80x = 1,492.74 × 708.66
  4. Step 4: Simplify right side
    1,081.80x = 1,057,845.13
  5. Step 5: Solve for x
    x = 1,057,845.13/1,081.80
  6. Step 6: Final answer
    x = 977.86

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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.