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Finding the Fourth Proportional to 546.94, 819.60 and 438.94

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Solution

The fourth proportional to 546.94, 819.60 and 438.94 is: 657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 819.60 = 438.94 : x
  2. Step 2: Convert to fraction form
    546.94/819.60 = 438.94/x
  3. Step 3: Cross multiply
    546.94x = 819.60 × 438.94
  4. Step 4: Simplify right side
    546.94x = 359,755.22
  5. Step 5: Solve for x
    x = 359,755.22/546.94
  6. Step 6: Final answer
    x = 657.76

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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.