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Finding the Fourth Proportional to 823.05, 1,232.25 and 548.61

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Solution

The fourth proportional to 823.05, 1,232.25 and 548.61 is: 821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.05 : 1,232.25 = 548.61 : x
  2. Step 2: Convert to fraction form
    823.05/1,232.25 = 548.61/x
  3. Step 3: Cross multiply
    823.05x = 1,232.25 × 548.61
  4. Step 4: Simplify right side
    823.05x = 676,024.67
  5. Step 5: Solve for x
    x = 676,024.67/823.05
  6. Step 6: Final answer
    x = 821.37

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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.