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Finding the Fourth Proportional to 1,400.81, 2,100.97 and 426.85

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Solution

The fourth proportional to 1,400.81, 2,100.97 and 426.85 is: 640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.81 : 2,100.97 = 426.85 : x
  2. Step 2: Convert to fraction form
    1,400.81/2,100.97 = 426.85/x
  3. Step 3: Cross multiply
    1,400.81x = 2,100.97 × 426.85
  4. Step 4: Simplify right side
    1,400.81x = 896,786.41
  5. Step 5: Solve for x
    x = 896,786.41/1,400.81
  6. Step 6: Final answer
    x = 640.19

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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.