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Finding the Fourth Proportional to 433.14, 645.36 and 428.82

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Solution

The fourth proportional to 433.14, 645.36 and 428.82 is: 638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 645.36 = 428.82 : x
  2. Step 2: Convert to fraction form
    433.14/645.36 = 428.82/x
  3. Step 3: Cross multiply
    433.14x = 645.36 × 428.82
  4. Step 4: Simplify right side
    433.14x = 276,743.28
  5. Step 5: Solve for x
    x = 276,743.28/433.14
  6. Step 6: Final answer
    x = 638.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.