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Finding the Fourth Proportional to 548.06, 756.34 and 416.84

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Solution

The fourth proportional to 548.06, 756.34 and 416.84 is: 575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.06 : 756.34 = 416.84 : x
  2. Step 2: Convert to fraction form
    548.06/756.34 = 416.84/x
  3. Step 3: Cross multiply
    548.06x = 756.34 × 416.84
  4. Step 4: Simplify right side
    548.06x = 315,272.77
  5. Step 5: Solve for x
    x = 315,272.77/548.06
  6. Step 6: Final answer
    x = 575.25

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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.