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Finding the Fourth Proportional to 451.15, 678.17 and 419.05

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Solution

The fourth proportional to 451.15, 678.17 and 419.05 is: 629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.15 : 678.17 = 419.05 : x
  2. Step 2: Convert to fraction form
    451.15/678.17 = 419.05/x
  3. Step 3: Cross multiply
    451.15x = 678.17 × 419.05
  4. Step 4: Simplify right side
    451.15x = 284,189.03
  5. Step 5: Solve for x
    x = 284,189.03/451.15
  6. Step 6: Final answer
    x = 629.92

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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.