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Finding the Fourth Proportional to 546.20, 755.64 and 447.76

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Solution

The fourth proportional to 546.20, 755.64 and 447.76 is: 619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.20 : 755.64 = 447.76 : x
  2. Step 2: Convert to fraction form
    546.20/755.64 = 447.76/x
  3. Step 3: Cross multiply
    546.20x = 755.64 × 447.76
  4. Step 4: Simplify right side
    546.20x = 338,345.37
  5. Step 5: Solve for x
    x = 338,345.37/546.20
  6. Step 6: Final answer
    x = 619.45

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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.