Home / 1,269.29-1,751.91-826.43

Finding the Fourth Proportional to 1,269.29, 1,751.91 and 826.43

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Solution

The fourth proportional to 1,269.29, 1,751.91 and 826.43 is: 1,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.29 : 1,751.91 = 826.43 : x
  2. Step 2: Convert to fraction form
    1,269.29/1,751.91 = 826.43/x
  3. Step 3: Cross multiply
    1,269.29x = 1,751.91 × 826.43
  4. Step 4: Simplify right side
    1,269.29x = 1,447,830.98
  5. Step 5: Solve for x
    x = 1,447,830.98/1,269.29
  6. Step 6: Final answer
    x = 1,140.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.