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Finding the Fourth Proportional to 546.13, 819.20 and 400.03

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Solution

The fourth proportional to 546.13, 819.20 and 400.03 is: 600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.13 : 819.20 = 400.03 : x
  2. Step 2: Convert to fraction form
    546.13/819.20 = 400.03/x
  3. Step 3: Cross multiply
    546.13x = 819.20 × 400.03
  4. Step 4: Simplify right side
    546.13x = 327,704.58
  5. Step 5: Solve for x
    x = 327,704.58/546.13
  6. Step 6: Final answer
    x = 600.05

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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.