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Finding the Fourth Proportional to 547.56, 825.80 and 475.88

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Solution

The fourth proportional to 547.56, 825.80 and 475.88 is: 717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.56 : 825.80 = 475.88 : x
  2. Step 2: Convert to fraction form
    547.56/825.80 = 475.88/x
  3. Step 3: Cross multiply
    547.56x = 825.80 × 475.88
  4. Step 4: Simplify right side
    547.56x = 392,975.20
  5. Step 5: Solve for x
    x = 392,975.20/547.56
  6. Step 6: Final answer
    x = 717.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.