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Finding the Fourth Proportional to 431.25, 645.92 and 333.03

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Solution

The fourth proportional to 431.25, 645.92 and 333.03 is: 498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.25 : 645.92 = 333.03 : x
  2. Step 2: Convert to fraction form
    431.25/645.92 = 333.03/x
  3. Step 3: Cross multiply
    431.25x = 645.92 × 333.03
  4. Step 4: Simplify right side
    431.25x = 215,112.74
  5. Step 5: Solve for x
    x = 215,112.74/431.25
  6. Step 6: Final answer
    x = 498.82

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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.