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Finding the Fourth Proportional to 605.76, 836.28 and 409.56

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Solution

The fourth proportional to 605.76, 836.28 and 409.56 is: 565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.76 : 836.28 = 409.56 : x
  2. Step 2: Convert to fraction form
    605.76/836.28 = 409.56/x
  3. Step 3: Cross multiply
    605.76x = 836.28 × 409.56
  4. Step 4: Simplify right side
    605.76x = 342,506.84
  5. Step 5: Solve for x
    x = 342,506.84/605.76
  6. Step 6: Final answer
    x = 565.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.