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Finding the Fourth Proportional to 545.42, 752.78 and 324.50

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Solution

The fourth proportional to 545.42, 752.78 and 324.50 is: 447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.42 : 752.78 = 324.50 : x
  2. Step 2: Convert to fraction form
    545.42/752.78 = 324.50/x
  3. Step 3: Cross multiply
    545.42x = 752.78 × 324.50
  4. Step 4: Simplify right side
    545.42x = 244,277.11
  5. Step 5: Solve for x
    x = 244,277.11/545.42
  6. Step 6: Final answer
    x = 447.87

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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.