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Finding the Fourth Proportional to 548.40, 755.82 and 417.72

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Solution

The fourth proportional to 548.40, 755.82 and 417.72 is: 575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 755.82 = 417.72 : x
  2. Step 2: Convert to fraction form
    548.40/755.82 = 417.72/x
  3. Step 3: Cross multiply
    548.40x = 755.82 × 417.72
  4. Step 4: Simplify right side
    548.40x = 315,721.13
  5. Step 5: Solve for x
    x = 315,721.13/548.40
  6. Step 6: Final answer
    x = 575.71

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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.