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Finding the Fourth Proportional to 606.13, 836.78 and 408.00

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Solution

The fourth proportional to 606.13, 836.78 and 408.00 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.13 : 836.78 = 408.00 : x
  2. Step 2: Convert to fraction form
    606.13/836.78 = 408.00/x
  3. Step 3: Cross multiply
    606.13x = 836.78 × 408.00
  4. Step 4: Simplify right side
    606.13x = 341,407.31
  5. Step 5: Solve for x
    x = 341,407.31/606.13
  6. Step 6: Final answer
    x = 563.26

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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.