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Finding the Fourth Proportional to 546.66, 755.38 and 415.44

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Solution

The fourth proportional to 546.66, 755.38 and 415.44 is: 574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 755.38 = 415.44 : x
  2. Step 2: Convert to fraction form
    546.66/755.38 = 415.44/x
  3. Step 3: Cross multiply
    546.66x = 755.38 × 415.44
  4. Step 4: Simplify right side
    546.66x = 313,815.07
  5. Step 5: Solve for x
    x = 313,815.07/546.66
  6. Step 6: Final answer
    x = 574.06

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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.