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Finding the Fourth Proportional to 552.66, 829.25 and 423.48

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Solution

The fourth proportional to 552.66, 829.25 and 423.48 is: 635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.66 : 829.25 = 423.48 : x
  2. Step 2: Convert to fraction form
    552.66/829.25 = 423.48/x
  3. Step 3: Cross multiply
    552.66x = 829.25 × 423.48
  4. Step 4: Simplify right side
    552.66x = 351,171.09
  5. Step 5: Solve for x
    x = 351,171.09/552.66
  6. Step 6: Final answer
    x = 635.42

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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.