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Finding the Fourth Proportional to 606.70, 836.59 and 409.87

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Solution

The fourth proportional to 606.70, 836.59 and 409.87 is: 565.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.70 : 836.59 = 409.87 : x
  2. Step 2: Convert to fraction form
    606.70/836.59 = 409.87/x
  3. Step 3: Cross multiply
    606.70x = 836.59 × 409.87
  4. Step 4: Simplify right side
    606.70x = 342,891.09
  5. Step 5: Solve for x
    x = 342,891.09/606.70
  6. Step 6: Final answer
    x = 565.17

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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.