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Finding the Fourth Proportional to 545.75, 821.62 and 481.12

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Solution

The fourth proportional to 545.75, 821.62 and 481.12 is: 724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.75 : 821.62 = 481.12 : x
  2. Step 2: Convert to fraction form
    545.75/821.62 = 481.12/x
  3. Step 3: Cross multiply
    545.75x = 821.62 × 481.12
  4. Step 4: Simplify right side
    545.75x = 395,294.56
  5. Step 5: Solve for x
    x = 395,294.56/545.75
  6. Step 6: Final answer
    x = 724.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.