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Finding the Fourth Proportional to 454.68, 678.06 and 396.36

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Solution

The fourth proportional to 454.68, 678.06 and 396.36 is: 591.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 678.06 = 396.36 : x
  2. Step 2: Convert to fraction form
    454.68/678.06 = 396.36/x
  3. Step 3: Cross multiply
    454.68x = 678.06 × 396.36
  4. Step 4: Simplify right side
    454.68x = 268,755.86
  5. Step 5: Solve for x
    x = 268,755.86/454.68
  6. Step 6: Final answer
    x = 591.09

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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.