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Finding the Fourth Proportional to 1,092.90, 1,640.18 and 516.18

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Solution

The fourth proportional to 1,092.90, 1,640.18 and 516.18 is: 774.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.90 : 1,640.18 = 516.18 : x
  2. Step 2: Convert to fraction form
    1,092.90/1,640.18 = 516.18/x
  3. Step 3: Cross multiply
    1,092.90x = 1,640.18 × 516.18
  4. Step 4: Simplify right side
    1,092.90x = 846,628.11
  5. Step 5: Solve for x
    x = 846,628.11/1,092.90
  6. Step 6: Final answer
    x = 774.66

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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.