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Finding the Fourth Proportional to 547.28, 754.80 and 422.96

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Solution

The fourth proportional to 547.28, 754.80 and 422.96 is: 583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 754.80 = 422.96 : x
  2. Step 2: Convert to fraction form
    547.28/754.80 = 422.96/x
  3. Step 3: Cross multiply
    547.28x = 754.80 × 422.96
  4. Step 4: Simplify right side
    547.28x = 319,250.21
  5. Step 5: Solve for x
    x = 319,250.21/547.28
  6. Step 6: Final answer
    x = 583.34

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1.5x scale

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.