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Finding the Fourth Proportional to 545.06, 816.81 and 422.75

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Solution

The fourth proportional to 545.06, 816.81 and 422.75 is: 633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.06 : 816.81 = 422.75 : x
  2. Step 2: Convert to fraction form
    545.06/816.81 = 422.75/x
  3. Step 3: Cross multiply
    545.06x = 816.81 × 422.75
  4. Step 4: Simplify right side
    545.06x = 345,306.43
  5. Step 5: Solve for x
    x = 345,306.43/545.06
  6. Step 6: Final answer
    x = 633.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.