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Finding the Fourth Proportional to 440.45, 658.79 and 428.66

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Solution

The fourth proportional to 440.45, 658.79 and 428.66 is: 641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.45 : 658.79 = 428.66 : x
  2. Step 2: Convert to fraction form
    440.45/658.79 = 428.66/x
  3. Step 3: Cross multiply
    440.45x = 658.79 × 428.66
  4. Step 4: Simplify right side
    440.45x = 282,394.78
  5. Step 5: Solve for x
    x = 282,394.78/440.45
  6. Step 6: Final answer
    x = 641.15

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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.