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Finding the Fourth Proportional to 1,426.91, 2,140.41 and 452.91

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Solution

The fourth proportional to 1,426.91, 2,140.41 and 452.91 is: 679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.91 : 2,140.41 = 452.91 : x
  2. Step 2: Convert to fraction form
    1,426.91/2,140.41 = 452.91/x
  3. Step 3: Cross multiply
    1,426.91x = 2,140.41 × 452.91
  4. Step 4: Simplify right side
    1,426.91x = 969,413.09
  5. Step 5: Solve for x
    x = 969,413.09/1,426.91
  6. Step 6: Final answer
    x = 679.38

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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.