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Finding the Fourth Proportional to 2,190.39, 3,285.72 and 729.69

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Solution

The fourth proportional to 2,190.39, 3,285.72 and 729.69 is: 1,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.39 : 3,285.72 = 729.69 : x
  2. Step 2: Convert to fraction form
    2,190.39/3,285.72 = 729.69/x
  3. Step 3: Cross multiply
    2,190.39x = 3,285.72 × 729.69
  4. Step 4: Simplify right side
    2,190.39x = 2,397,557.03
  5. Step 5: Solve for x
    x = 2,397,557.03/2,190.39
  6. Step 6: Final answer
    x = 1,094.58

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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.