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Finding the Fourth Proportional to 546.13, 817.57 and 545.41

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Solution

The fourth proportional to 546.13, 817.57 and 545.41 is: 816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.13 : 817.57 = 545.41 : x
  2. Step 2: Convert to fraction form
    546.13/817.57 = 545.41/x
  3. Step 3: Cross multiply
    546.13x = 817.57 × 545.41
  4. Step 4: Simplify right side
    546.13x = 445,910.85
  5. Step 5: Solve for x
    x = 445,910.85/546.13
  6. Step 6: Final answer
    x = 816.49

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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.