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Finding the Fourth Proportional to 1,081.90, 1,620.87 and 595.54

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Solution

The fourth proportional to 1,081.90, 1,620.87 and 595.54 is: 892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.90 : 1,620.87 = 595.54 : x
  2. Step 2: Convert to fraction form
    1,081.90/1,620.87 = 595.54/x
  3. Step 3: Cross multiply
    1,081.90x = 1,620.87 × 595.54
  4. Step 4: Simplify right side
    1,081.90x = 965,292.92
  5. Step 5: Solve for x
    x = 965,292.92/1,081.90
  6. Step 6: Final answer
    x = 892.22

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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.