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Finding the Fourth Proportional to 431.11, 595.33 and 408.09

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Solution

The fourth proportional to 431.11, 595.33 and 408.09 is: 563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.11 : 595.33 = 408.09 : x
  2. Step 2: Convert to fraction form
    431.11/595.33 = 408.09/x
  3. Step 3: Cross multiply
    431.11x = 595.33 × 408.09
  4. Step 4: Simplify right side
    431.11x = 242,947.20
  5. Step 5: Solve for x
    x = 242,947.20/431.11
  6. Step 6: Final answer
    x = 563.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.