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Finding the Fourth Proportional to 553.30, 827.42 and 414.59

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Solution

The fourth proportional to 553.30, 827.42 and 414.59 is: 619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.30 : 827.42 = 414.59 : x
  2. Step 2: Convert to fraction form
    553.30/827.42 = 414.59/x
  3. Step 3: Cross multiply
    553.30x = 827.42 × 414.59
  4. Step 4: Simplify right side
    553.30x = 343,033.85
  5. Step 5: Solve for x
    x = 343,033.85/553.30
  6. Step 6: Final answer
    x = 619.98

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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.