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Finding the Fourth Proportional to 436.45, 654.07 and 328.12

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Solution

The fourth proportional to 436.45, 654.07 and 328.12 is: 491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.45 : 654.07 = 328.12 : x
  2. Step 2: Convert to fraction form
    436.45/654.07 = 328.12/x
  3. Step 3: Cross multiply
    436.45x = 654.07 × 328.12
  4. Step 4: Simplify right side
    436.45x = 214,608.54
  5. Step 5: Solve for x
    x = 214,608.54/436.45
  6. Step 6: Final answer
    x = 491.71

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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.