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Finding the Fourth Proportional to 552.38, 832.42 and 472.28

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Solution

The fourth proportional to 552.38, 832.42 and 472.28 is: 711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.38 : 832.42 = 472.28 : x
  2. Step 2: Convert to fraction form
    552.38/832.42 = 472.28/x
  3. Step 3: Cross multiply
    552.38x = 832.42 × 472.28
  4. Step 4: Simplify right side
    552.38x = 393,135.32
  5. Step 5: Solve for x
    x = 393,135.32/552.38
  6. Step 6: Final answer
    x = 711.71

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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.