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Finding the Fourth Proportional to 428.13, 640.89 and 324.45

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Solution

The fourth proportional to 428.13, 640.89 and 324.45 is: 485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.13 : 640.89 = 324.45 : x
  2. Step 2: Convert to fraction form
    428.13/640.89 = 324.45/x
  3. Step 3: Cross multiply
    428.13x = 640.89 × 324.45
  4. Step 4: Simplify right side
    428.13x = 207,936.76
  5. Step 5: Solve for x
    x = 207,936.76/428.13
  6. Step 6: Final answer
    x = 485.69

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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.