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Finding the Fourth Proportional to 546.87, 754.25 and 448.41

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Solution

The fourth proportional to 546.87, 754.25 and 448.41 is: 618.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.87 : 754.25 = 448.41 : x
  2. Step 2: Convert to fraction form
    546.87/754.25 = 448.41/x
  3. Step 3: Cross multiply
    546.87x = 754.25 × 448.41
  4. Step 4: Simplify right side
    546.87x = 338,211.00
  5. Step 5: Solve for x
    x = 338,211.00/546.87
  6. Step 6: Final answer
    x = 618.45

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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.