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Finding the Fourth Proportional to 1,377.69, 2,066.84 and 453.21

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Solution

The fourth proportional to 1,377.69, 2,066.84 and 453.21 is: 679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.69 : 2,066.84 = 453.21 : x
  2. Step 2: Convert to fraction form
    1,377.69/2,066.84 = 453.21/x
  3. Step 3: Cross multiply
    1,377.69x = 2,066.84 × 453.21
  4. Step 4: Simplify right side
    1,377.69x = 936,706.51
  5. Step 5: Solve for x
    x = 936,706.51/1,377.69
  6. Step 6: Final answer
    x = 679.91

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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.