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Finding the Fourth Proportional to 605.12, 905.64 and 422.08

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Solution

The fourth proportional to 605.12, 905.64 and 422.08 is: 631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.12 : 905.64 = 422.08 : x
  2. Step 2: Convert to fraction form
    605.12/905.64 = 422.08/x
  3. Step 3: Cross multiply
    605.12x = 905.64 × 422.08
  4. Step 4: Simplify right side
    605.12x = 382,252.53
  5. Step 5: Solve for x
    x = 382,252.53/605.12
  6. Step 6: Final answer
    x = 631.70

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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.