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Finding the Fourth Proportional to 1,844.57, 2,766.52 and 611.82

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Solution

The fourth proportional to 1,844.57, 2,766.52 and 611.82 is: 917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.57 : 2,766.52 = 611.82 : x
  2. Step 2: Convert to fraction form
    1,844.57/2,766.52 = 611.82/x
  3. Step 3: Cross multiply
    1,844.57x = 2,766.52 × 611.82
  4. Step 4: Simplify right side
    1,844.57x = 1,692,613.03
  5. Step 5: Solve for x
    x = 1,692,613.03/1,844.57
  6. Step 6: Final answer
    x = 917.62

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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.