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Finding the Fourth Proportional to 422.58, 630.68 and 395.22

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Solution

The fourth proportional to 422.58, 630.68 and 395.22 is: 589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.58 : 630.68 = 395.22 : x
  2. Step 2: Convert to fraction form
    422.58/630.68 = 395.22/x
  3. Step 3: Cross multiply
    422.58x = 630.68 × 395.22
  4. Step 4: Simplify right side
    422.58x = 249,255.37
  5. Step 5: Solve for x
    x = 249,255.37/422.58
  6. Step 6: Final answer
    x = 589.84

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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.