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Finding the Fourth Proportional to 553.57, 829.49 and 416.47

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Solution

The fourth proportional to 553.57, 829.49 and 416.47 is: 624.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.57 : 829.49 = 416.47 : x
  2. Step 2: Convert to fraction form
    553.57/829.49 = 416.47/x
  3. Step 3: Cross multiply
    553.57x = 829.49 × 416.47
  4. Step 4: Simplify right side
    553.57x = 345,451.47
  5. Step 5: Solve for x
    x = 345,451.47/553.57
  6. Step 6: Final answer
    x = 624.05

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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.