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Finding the Fourth Proportional to 605.34, 908.12 and 280.74

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Solution

The fourth proportional to 605.34, 908.12 and 280.74 is: 421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 908.12 = 280.74 : x
  2. Step 2: Convert to fraction form
    605.34/908.12 = 280.74/x
  3. Step 3: Cross multiply
    605.34x = 908.12 × 280.74
  4. Step 4: Simplify right side
    605.34x = 254,945.61
  5. Step 5: Solve for x
    x = 254,945.61/605.34
  6. Step 6: Final answer
    x = 421.16

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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.