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Finding the Fourth Proportional to 548.37, 755.73 and 417.15

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Solution

The fourth proportional to 548.37, 755.73 and 417.15 is: 574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.37 : 755.73 = 417.15 : x
  2. Step 2: Convert to fraction form
    548.37/755.73 = 417.15/x
  3. Step 3: Cross multiply
    548.37x = 755.73 × 417.15
  4. Step 4: Simplify right side
    548.37x = 315,252.77
  5. Step 5: Solve for x
    x = 315,252.77/548.37
  6. Step 6: Final answer
    x = 574.89

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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.