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Finding the Fourth Proportional to 1,100.06, 1,651.11 and 580.44

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Solution

The fourth proportional to 1,100.06, 1,651.11 and 580.44 is: 871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.06 : 1,651.11 = 580.44 : x
  2. Step 2: Convert to fraction form
    1,100.06/1,651.11 = 580.44/x
  3. Step 3: Cross multiply
    1,100.06x = 1,651.11 × 580.44
  4. Step 4: Simplify right side
    1,100.06x = 958,370.29
  5. Step 5: Solve for x
    x = 958,370.29/1,100.06
  6. Step 6: Final answer
    x = 871.20

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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.