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Finding the Fourth Proportional to 826.05, 1,139.91 and 453

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Solution

The fourth proportional to 826.05, 1,139.91 and 453 is: 625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.05 : 1,139.91 = 453 : x
  2. Step 2: Convert to fraction form
    826.05/1,139.91 = 453/x
  3. Step 3: Cross multiply
    826.05x = 1,139.91 × 453
  4. Step 4: Simplify right side
    826.05x = 516,379.23
  5. Step 5: Solve for x
    x = 516,379.23/826.05
  6. Step 6: Final answer
    x = 625.12

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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.