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Finding the Fourth Proportional to 552.90, 829.38 and 409.56

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Solution

The fourth proportional to 552.90, 829.38 and 409.56 is: 614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.90 : 829.38 = 409.56 : x
  2. Step 2: Convert to fraction form
    552.90/829.38 = 409.56/x
  3. Step 3: Cross multiply
    552.90x = 829.38 × 409.56
  4. Step 4: Simplify right side
    552.90x = 339,680.87
  5. Step 5: Solve for x
    x = 339,680.87/552.90
  6. Step 6: Final answer
    x = 614.36

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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.