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Finding the Fourth Proportional to 552.48, 827.12 and 416.10

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Solution

The fourth proportional to 552.48, 827.12 and 416.10 is: 622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.48 : 827.12 = 416.10 : x
  2. Step 2: Convert to fraction form
    552.48/827.12 = 416.10/x
  3. Step 3: Cross multiply
    552.48x = 827.12 × 416.10
  4. Step 4: Simplify right side
    552.48x = 344,164.63
  5. Step 5: Solve for x
    x = 344,164.63/552.48
  6. Step 6: Final answer
    x = 622.94

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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.