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Finding the Fourth Proportional to 1,769.62, 2,654.44 and 673.74

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Solution

The fourth proportional to 1,769.62, 2,654.44 and 673.74 is: 1,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.62 : 2,654.44 = 673.74 : x
  2. Step 2: Convert to fraction form
    1,769.62/2,654.44 = 673.74/x
  3. Step 3: Cross multiply
    1,769.62x = 2,654.44 × 673.74
  4. Step 4: Simplify right side
    1,769.62x = 1,788,402.41
  5. Step 5: Solve for x
    x = 1,788,402.41/1,769.62
  6. Step 6: Final answer
    x = 1,010.61

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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.