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Finding the Fourth Proportional to 1,081.71, 1,492.88 and 708.78

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Solution

The fourth proportional to 1,081.71, 1,492.88 and 708.78 is: 978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.71 : 1,492.88 = 708.78 : x
  2. Step 2: Convert to fraction form
    1,081.71/1,492.88 = 708.78/x
  3. Step 3: Cross multiply
    1,081.71x = 1,492.88 × 708.78
  4. Step 4: Simplify right side
    1,081.71x = 1,058,119.94
  5. Step 5: Solve for x
    x = 1,058,119.94/1,081.71
  6. Step 6: Final answer
    x = 978.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.