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Finding the Fourth Proportional to 547.28, 754.41 and 428.99

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Solution

The fourth proportional to 547.28, 754.41 and 428.99 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.28 : 754.41 = 428.99 : x
  2. Step 2: Convert to fraction form
    547.28/754.41 = 428.99/x
  3. Step 3: Cross multiply
    547.28x = 754.41 × 428.99
  4. Step 4: Simplify right side
    547.28x = 323,630.57
  5. Step 5: Solve for x
    x = 323,630.57/547.28
  6. Step 6: Final answer
    x = 591.35

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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.