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Finding the Fourth Proportional to 606.88, 836.38 and 496

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Solution

The fourth proportional to 606.88, 836.38 and 496 is: 683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.88 : 836.38 = 496 : x
  2. Step 2: Convert to fraction form
    606.88/836.38 = 496/x
  3. Step 3: Cross multiply
    606.88x = 836.38 × 496
  4. Step 4: Simplify right side
    606.88x = 414,844.48
  5. Step 5: Solve for x
    x = 414,844.48/606.88
  6. Step 6: Final answer
    x = 683.57

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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.