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Finding the Fourth Proportional to 422.40, 632.66 and 412.06

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Solution

The fourth proportional to 422.40, 632.66 and 412.06 is: 617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.40 : 632.66 = 412.06 : x
  2. Step 2: Convert to fraction form
    422.40/632.66 = 412.06/x
  3. Step 3: Cross multiply
    422.40x = 632.66 × 412.06
  4. Step 4: Simplify right side
    422.40x = 260,693.88
  5. Step 5: Solve for x
    x = 260,693.88/422.40
  6. Step 6: Final answer
    x = 617.17

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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.