Home / 1,456.22-2,009.63-826.77

Finding the Fourth Proportional to 1,456.22, 2,009.63 and 826.77

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Solution

The fourth proportional to 1,456.22, 2,009.63 and 826.77 is: 1,140.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.22 : 2,009.63 = 826.77 : x
  2. Step 2: Convert to fraction form
    1,456.22/2,009.63 = 826.77/x
  3. Step 3: Cross multiply
    1,456.22x = 2,009.63 × 826.77
  4. Step 4: Simplify right side
    1,456.22x = 1,661,497.66
  5. Step 5: Solve for x
    x = 1,661,497.66/1,456.22
  6. Step 6: Final answer
    x = 1,140.97

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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.