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Finding the Fourth Proportional to 826.65, 1,240.79 and 629.82

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Solution

The fourth proportional to 826.65, 1,240.79 and 629.82 is: 945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.65 : 1,240.79 = 629.82 : x
  2. Step 2: Convert to fraction form
    826.65/1,240.79 = 629.82/x
  3. Step 3: Cross multiply
    826.65x = 1,240.79 × 629.82
  4. Step 4: Simplify right side
    826.65x = 781,471.21
  5. Step 5: Solve for x
    x = 781,471.21/826.65
  6. Step 6: Final answer
    x = 945.35

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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.