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Finding the Fourth Proportional to 1,822.39, 2,734.02 and 589.80

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Solution

The fourth proportional to 1,822.39, 2,734.02 and 589.80 is: 884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.39 : 2,734.02 = 589.80 : x
  2. Step 2: Convert to fraction form
    1,822.39/2,734.02 = 589.80/x
  3. Step 3: Cross multiply
    1,822.39x = 2,734.02 × 589.80
  4. Step 4: Simplify right side
    1,822.39x = 1,612,519.25
  5. Step 5: Solve for x
    x = 1,612,519.25/1,822.39
  6. Step 6: Final answer
    x = 884.84

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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.