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Finding the Fourth Proportional to 603.73, 827.35 and 545.41

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Solution

The fourth proportional to 603.73, 827.35 and 545.41 is: 747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.73 : 827.35 = 545.41 : x
  2. Step 2: Convert to fraction form
    603.73/827.35 = 545.41/x
  3. Step 3: Cross multiply
    603.73x = 827.35 × 545.41
  4. Step 4: Simplify right side
    603.73x = 451,244.96
  5. Step 5: Solve for x
    x = 451,244.96/603.73
  6. Step 6: Final answer
    x = 747.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.