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Finding the Fourth Proportional to 605.44, 908.76 and 280.88

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Solution

The fourth proportional to 605.44, 908.76 and 280.88 is: 421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.44 : 908.76 = 280.88 : x
  2. Step 2: Convert to fraction form
    605.44/908.76 = 280.88/x
  3. Step 3: Cross multiply
    605.44x = 908.76 × 280.88
  4. Step 4: Simplify right side
    605.44x = 255,252.51
  5. Step 5: Solve for x
    x = 255,252.51/605.44
  6. Step 6: Final answer
    x = 421.60

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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.