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Finding the Fourth Proportional to 454.44, 678.60 and 428.84

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Solution

The fourth proportional to 454.44, 678.60 and 428.84 is: 640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.44 : 678.60 = 428.84 : x
  2. Step 2: Convert to fraction form
    454.44/678.60 = 428.84/x
  3. Step 3: Cross multiply
    454.44x = 678.60 × 428.84
  4. Step 4: Simplify right side
    454.44x = 291,010.82
  5. Step 5: Solve for x
    x = 291,010.82/454.44
  6. Step 6: Final answer
    x = 640.37

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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.