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Finding the Fourth Proportional to 454.35, 678.43 and 428.68

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Solution

The fourth proportional to 454.35, 678.43 and 428.68 is: 640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.35 : 678.43 = 428.68 : x
  2. Step 2: Convert to fraction form
    454.35/678.43 = 428.68/x
  3. Step 3: Cross multiply
    454.35x = 678.43 × 428.68
  4. Step 4: Simplify right side
    454.35x = 290,829.37
  5. Step 5: Solve for x
    x = 290,829.37/454.35
  6. Step 6: Final answer
    x = 640.10

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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.