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Finding the Fourth Proportional to 1,830.70, 2,744.70 and 734.23

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Solution

The fourth proportional to 1,830.70, 2,744.70 and 734.23 is: 1,100.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.70 : 2,744.70 = 734.23 : x
  2. Step 2: Convert to fraction form
    1,830.70/2,744.70 = 734.23/x
  3. Step 3: Cross multiply
    1,830.70x = 2,744.70 × 734.23
  4. Step 4: Simplify right side
    1,830.70x = 2,015,241.08
  5. Step 5: Solve for x
    x = 2,015,241.08/1,830.70
  6. Step 6: Final answer
    x = 1,100.80

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1.5x scale

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.