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Finding the Fourth Proportional to 1,747.72, 2,621.61 and 449.19

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Solution

The fourth proportional to 1,747.72, 2,621.61 and 449.19 is: 673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.72 : 2,621.61 = 449.19 : x
  2. Step 2: Convert to fraction form
    1,747.72/2,621.61 = 449.19/x
  3. Step 3: Cross multiply
    1,747.72x = 2,621.61 × 449.19
  4. Step 4: Simplify right side
    1,747.72x = 1,177,598.75
  5. Step 5: Solve for x
    x = 1,177,598.75/1,747.72
  6. Step 6: Final answer
    x = 673.79

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Similar ratio
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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.