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Finding the Fourth Proportional to 1,120.11, 1,680.19 and 661.11

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Solution

The fourth proportional to 1,120.11, 1,680.19 and 661.11 is: 991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.11 : 1,680.19 = 661.11 : x
  2. Step 2: Convert to fraction form
    1,120.11/1,680.19 = 661.11/x
  3. Step 3: Cross multiply
    1,120.11x = 1,680.19 × 661.11
  4. Step 4: Simplify right side
    1,120.11x = 1,110,788.76
  5. Step 5: Solve for x
    x = 1,110,788.76/1,120.11
  6. Step 6: Final answer
    x = 991.68

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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.