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Finding the Fourth Proportional to 627.72, 945.27 and 547.53

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Solution

The fourth proportional to 627.72, 945.27 and 547.53 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.72 : 945.27 = 547.53 : x
  2. Step 2: Convert to fraction form
    627.72/945.27 = 547.53/x
  3. Step 3: Cross multiply
    627.72x = 945.27 × 547.53
  4. Step 4: Simplify right side
    627.72x = 517,563.68
  5. Step 5: Solve for x
    x = 517,563.68/627.72
  6. Step 6: Final answer
    x = 824.51

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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.