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Finding the Fourth Proportional to 826.50, 1,238.01 and 496.40

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Solution

The fourth proportional to 826.50, 1,238.01 and 496.40 is: 743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.50 : 1,238.01 = 496.40 : x
  2. Step 2: Convert to fraction form
    826.50/1,238.01 = 496.40/x
  3. Step 3: Cross multiply
    826.50x = 1,238.01 × 496.40
  4. Step 4: Simplify right side
    826.50x = 614,551.95
  5. Step 5: Solve for x
    x = 614,551.95/826.50
  6. Step 6: Final answer
    x = 743.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.