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Finding the Fourth Proportional to 545.73, 753.09 and 324.63

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Solution

The fourth proportional to 545.73, 753.09 and 324.63 is: 447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.73 : 753.09 = 324.63 : x
  2. Step 2: Convert to fraction form
    545.73/753.09 = 324.63/x
  3. Step 3: Cross multiply
    545.73x = 753.09 × 324.63
  4. Step 4: Simplify right side
    545.73x = 244,475.61
  5. Step 5: Solve for x
    x = 244,475.61/545.73
  6. Step 6: Final answer
    x = 447.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.