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Finding the Fourth Proportional to 605.81, 836.28 and 409.59

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Solution

The fourth proportional to 605.81, 836.28 and 409.59 is: 565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.81 : 836.28 = 409.59 : x
  2. Step 2: Convert to fraction form
    605.81/836.28 = 409.59/x
  3. Step 3: Cross multiply
    605.81x = 836.28 × 409.59
  4. Step 4: Simplify right side
    605.81x = 342,525.70
  5. Step 5: Solve for x
    x = 342,525.70/605.81
  6. Step 6: Final answer
    x = 565.40

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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.