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Finding the Fourth Proportional to 547.52, 755.08 and 422.88

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Solution

The fourth proportional to 547.52, 755.08 and 422.88 is: 583.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 755.08 = 422.88 : x
  2. Step 2: Convert to fraction form
    547.52/755.08 = 422.88/x
  3. Step 3: Cross multiply
    547.52x = 755.08 × 422.88
  4. Step 4: Simplify right side
    547.52x = 319,308.23
  5. Step 5: Solve for x
    x = 319,308.23/547.52
  6. Step 6: Final answer
    x = 583.19

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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.