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Finding the Fourth Proportional to 548.09, 756.53 and 359.07

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Solution

The fourth proportional to 548.09, 756.53 and 359.07 is: 495.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.09 : 756.53 = 359.07 : x
  2. Step 2: Convert to fraction form
    548.09/756.53 = 359.07/x
  3. Step 3: Cross multiply
    548.09x = 756.53 × 359.07
  4. Step 4: Simplify right side
    548.09x = 271,647.23
  5. Step 5: Solve for x
    x = 271,647.23/548.09
  6. Step 6: Final answer
    x = 495.63

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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.