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Finding the Fourth Proportional to 451.96, 678.36 and 400.78

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Solution

The fourth proportional to 451.96, 678.36 and 400.78 is: 601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.96 : 678.36 = 400.78 : x
  2. Step 2: Convert to fraction form
    451.96/678.36 = 400.78/x
  3. Step 3: Cross multiply
    451.96x = 678.36 × 400.78
  4. Step 4: Simplify right side
    451.96x = 271,873.12
  5. Step 5: Solve for x
    x = 271,873.12/451.96
  6. Step 6: Final answer
    x = 601.54

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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.