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Finding the Fourth Proportional to 1,180.57, 1,628.85 and 826.09

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Solution

The fourth proportional to 1,180.57, 1,628.85 and 826.09 is: 1,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.57 : 1,628.85 = 826.09 : x
  2. Step 2: Convert to fraction form
    1,180.57/1,628.85 = 826.09/x
  3. Step 3: Cross multiply
    1,180.57x = 1,628.85 × 826.09
  4. Step 4: Simplify right side
    1,180.57x = 1,345,576.70
  5. Step 5: Solve for x
    x = 1,345,576.70/1,180.57
  6. Step 6: Final answer
    x = 1,139.77

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1.5x scale

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.