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Finding the Fourth Proportional to 1,351.71, 2,026.58 and 426.77

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Solution

The fourth proportional to 1,351.71, 2,026.58 and 426.77 is: 639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.71 : 2,026.58 = 426.77 : x
  2. Step 2: Convert to fraction form
    1,351.71/2,026.58 = 426.77/x
  3. Step 3: Cross multiply
    1,351.71x = 2,026.58 × 426.77
  4. Step 4: Simplify right side
    1,351.71x = 864,871.28
  5. Step 5: Solve for x
    x = 864,871.28/1,351.71
  6. Step 6: Final answer
    x = 639.83

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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.