Home / 1,013.83-1,394.69-826.91

Finding the Fourth Proportional to 1,013.83, 1,394.69 and 826.91

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Solution

The fourth proportional to 1,013.83, 1,394.69 and 826.91 is: 1,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.83 : 1,394.69 = 826.91 : x
  2. Step 2: Convert to fraction form
    1,013.83/1,394.69 = 826.91/x
  3. Step 3: Cross multiply
    1,013.83x = 1,394.69 × 826.91
  4. Step 4: Simplify right side
    1,013.83x = 1,153,283.11
  5. Step 5: Solve for x
    x = 1,153,283.11/1,013.83
  6. Step 6: Final answer
    x = 1,137.55

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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.