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Finding the Fourth Proportional to 545.87, 752.96 and 324.66

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Solution

The fourth proportional to 545.87, 752.96 and 324.66 is: 447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.87 : 752.96 = 324.66 : x
  2. Step 2: Convert to fraction form
    545.87/752.96 = 324.66/x
  3. Step 3: Cross multiply
    545.87x = 752.96 × 324.66
  4. Step 4: Simplify right side
    545.87x = 244,454.37
  5. Step 5: Solve for x
    x = 244,454.37/545.87
  6. Step 6: Final answer
    x = 447.82

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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.