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Finding the Fourth Proportional to 826.00, 1,139.94 and 476.75

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Solution

The fourth proportional to 826.00, 1,139.94 and 476.75 is: 657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.00 : 1,139.94 = 476.75 : x
  2. Step 2: Convert to fraction form
    826.00/1,139.94 = 476.75/x
  3. Step 3: Cross multiply
    826.00x = 1,139.94 × 476.75
  4. Step 4: Simplify right side
    826.00x = 543,469.24
  5. Step 5: Solve for x
    x = 543,469.24/826.00
  6. Step 6: Final answer
    x = 657.96

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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.