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Finding the Fourth Proportional to 431.92, 596.53 and 404.79

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Solution

The fourth proportional to 431.92, 596.53 and 404.79 is: 559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.92 : 596.53 = 404.79 : x
  2. Step 2: Convert to fraction form
    431.92/596.53 = 404.79/x
  3. Step 3: Cross multiply
    431.92x = 596.53 × 404.79
  4. Step 4: Simplify right side
    431.92x = 241,469.38
  5. Step 5: Solve for x
    x = 241,469.38/431.92
  6. Step 6: Final answer
    x = 559.06

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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.