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Finding the Fourth Proportional to 1,081.89, 1,492.43 and 767.61

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Solution

The fourth proportional to 1,081.89, 1,492.43 and 767.61 is: 1,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.89 : 1,492.43 = 767.61 : x
  2. Step 2: Convert to fraction form
    1,081.89/1,492.43 = 767.61/x
  3. Step 3: Cross multiply
    1,081.89x = 1,492.43 × 767.61
  4. Step 4: Simplify right side
    1,081.89x = 1,145,600.35
  5. Step 5: Solve for x
    x = 1,145,600.35/1,081.89
  6. Step 6: Final answer
    x = 1,058.89

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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.