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Finding the Fourth Proportional to 447.14, 670.08 and 422.50

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Solution

The fourth proportional to 447.14, 670.08 and 422.50 is: 633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.14 : 670.08 = 422.50 : x
  2. Step 2: Convert to fraction form
    447.14/670.08 = 422.50/x
  3. Step 3: Cross multiply
    447.14x = 670.08 × 422.50
  4. Step 4: Simplify right side
    447.14x = 283,108.80
  5. Step 5: Solve for x
    x = 283,108.80/447.14
  6. Step 6: Final answer
    x = 633.15

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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.