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Finding the Fourth Proportional to 605.66, 908.35 and 280.72

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Solution

The fourth proportional to 605.66, 908.35 and 280.72 is: 421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.66 : 908.35 = 280.72 : x
  2. Step 2: Convert to fraction form
    605.66/908.35 = 280.72/x
  3. Step 3: Cross multiply
    605.66x = 908.35 × 280.72
  4. Step 4: Simplify right side
    605.66x = 254,989.04
  5. Step 5: Solve for x
    x = 254,989.04/605.66
  6. Step 6: Final answer
    x = 421.01

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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.