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Finding the Fourth Proportional to 1,350.88, 2,026.62 and 426.43

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Solution

The fourth proportional to 1,350.88, 2,026.62 and 426.43 is: 639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.88 : 2,026.62 = 426.43 : x
  2. Step 2: Convert to fraction form
    1,350.88/2,026.62 = 426.43/x
  3. Step 3: Cross multiply
    1,350.88x = 2,026.62 × 426.43
  4. Step 4: Simplify right side
    1,350.88x = 864,211.57
  5. Step 5: Solve for x
    x = 864,211.57/1,350.88
  6. Step 6: Final answer
    x = 639.74

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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.