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Finding the Fourth Proportional to 546.22, 754.09 and 419.95

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Solution

The fourth proportional to 546.22, 754.09 and 419.95 is: 579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.22 : 754.09 = 419.95 : x
  2. Step 2: Convert to fraction form
    546.22/754.09 = 419.95/x
  3. Step 3: Cross multiply
    546.22x = 754.09 × 419.95
  4. Step 4: Simplify right side
    546.22x = 316,680.10
  5. Step 5: Solve for x
    x = 316,680.10/546.22
  6. Step 6: Final answer
    x = 579.77

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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.