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Finding the Fourth Proportional to 553.50, 828.63 and 417.09

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Solution

The fourth proportional to 553.50, 828.63 and 417.09 is: 624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.50 : 828.63 = 417.09 : x
  2. Step 2: Convert to fraction form
    553.50/828.63 = 417.09/x
  3. Step 3: Cross multiply
    553.50x = 828.63 × 417.09
  4. Step 4: Simplify right side
    553.50x = 345,613.29
  5. Step 5: Solve for x
    x = 345,613.29/553.50
  6. Step 6: Final answer
    x = 624.41

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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.