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Finding the Fourth Proportional to 1,181.29, 1,770.54 and 661.27

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Solution

The fourth proportional to 1,181.29, 1,770.54 and 661.27 is: 991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.29 : 1,770.54 = 661.27 : x
  2. Step 2: Convert to fraction form
    1,181.29/1,770.54 = 661.27/x
  3. Step 3: Cross multiply
    1,181.29x = 1,770.54 × 661.27
  4. Step 4: Simplify right side
    1,181.29x = 1,170,804.99
  5. Step 5: Solve for x
    x = 1,170,804.99/1,181.29
  6. Step 6: Final answer
    x = 991.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.