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Finding the Fourth Proportional to 422.75, 633.01 and 340.08

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Solution

The fourth proportional to 422.75, 633.01 and 340.08 is: 509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 633.01 = 340.08 : x
  2. Step 2: Convert to fraction form
    422.75/633.01 = 340.08/x
  3. Step 3: Cross multiply
    422.75x = 633.01 × 340.08
  4. Step 4: Simplify right side
    422.75x = 215,274.04
  5. Step 5: Solve for x
    x = 215,274.04/422.75
  6. Step 6: Final answer
    x = 509.22

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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.