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Finding the Fourth Proportional to 1,260.82, 1,888.77 and 826.66

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Solution

The fourth proportional to 1,260.82, 1,888.77 and 826.66 is: 1,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.82 : 1,888.77 = 826.66 : x
  2. Step 2: Convert to fraction form
    1,260.82/1,888.77 = 826.66/x
  3. Step 3: Cross multiply
    1,260.82x = 1,888.77 × 826.66
  4. Step 4: Simplify right side
    1,260.82x = 1,561,370.61
  5. Step 5: Solve for x
    x = 1,561,370.61/1,260.82
  6. Step 6: Final answer
    x = 1,238.38

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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.