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Finding the Fourth Proportional to 629.62, 943.52 and 552.40

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Solution

The fourth proportional to 629.62, 943.52 and 552.40 is: 827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.62 : 943.52 = 552.40 : x
  2. Step 2: Convert to fraction form
    629.62/943.52 = 552.40/x
  3. Step 3: Cross multiply
    629.62x = 943.52 × 552.40
  4. Step 4: Simplify right side
    629.62x = 521,200.45
  5. Step 5: Solve for x
    x = 521,200.45/629.62
  6. Step 6: Final answer
    x = 827.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.