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Finding the Fourth Proportional to 553.38, 828.26 and 407.09

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Solution

The fourth proportional to 553.38, 828.26 and 407.09 is: 609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.38 : 828.26 = 407.09 : x
  2. Step 2: Convert to fraction form
    553.38/828.26 = 407.09/x
  3. Step 3: Cross multiply
    553.38x = 828.26 × 407.09
  4. Step 4: Simplify right side
    553.38x = 337,176.36
  5. Step 5: Solve for x
    x = 337,176.36/553.38
  6. Step 6: Final answer
    x = 609.30

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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.