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Finding the Fourth Proportional to 547.09, 755.34 and 422.53

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Solution

The fourth proportional to 547.09, 755.34 and 422.53 is: 583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.09 : 755.34 = 422.53 : x
  2. Step 2: Convert to fraction form
    547.09/755.34 = 422.53/x
  3. Step 3: Cross multiply
    547.09x = 755.34 × 422.53
  4. Step 4: Simplify right side
    547.09x = 319,153.81
  5. Step 5: Solve for x
    x = 319,153.81/547.09
  6. Step 6: Final answer
    x = 583.37

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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.