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Finding the Fourth Proportional to 546.88, 755.76 and 448.42

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Solution

The fourth proportional to 546.88, 755.76 and 448.42 is: 619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.88 : 755.76 = 448.42 : x
  2. Step 2: Convert to fraction form
    546.88/755.76 = 448.42/x
  3. Step 3: Cross multiply
    546.88x = 755.76 × 448.42
  4. Step 4: Simplify right side
    546.88x = 338,897.90
  5. Step 5: Solve for x
    x = 338,897.90/546.88
  6. Step 6: Final answer
    x = 619.69

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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.