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Finding the Fourth Proportional to 826.01, 1,137.07 and 638.90

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Solution

The fourth proportional to 826.01, 1,137.07 and 638.90 is: 879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.01 : 1,137.07 = 638.90 : x
  2. Step 2: Convert to fraction form
    826.01/1,137.07 = 638.90/x
  3. Step 3: Cross multiply
    826.01x = 1,137.07 × 638.90
  4. Step 4: Simplify right side
    826.01x = 726,473.40
  5. Step 5: Solve for x
    x = 726,473.40/826.01
  6. Step 6: Final answer
    x = 879.50

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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.