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Finding the Fourth Proportional to 545.92, 752.42 and 398.22

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Solution

The fourth proportional to 545.92, 752.42 and 398.22 is: 548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.92 : 752.42 = 398.22 : x
  2. Step 2: Convert to fraction form
    545.92/752.42 = 398.22/x
  3. Step 3: Cross multiply
    545.92x = 752.42 × 398.22
  4. Step 4: Simplify right side
    545.92x = 299,628.69
  5. Step 5: Solve for x
    x = 299,628.69/545.92
  6. Step 6: Final answer
    x = 548.85

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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.