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Finding the Fourth Proportional to 605.86, 836.58 and 493.84

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Solution

The fourth proportional to 605.86, 836.58 and 493.84 is: 681.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.86 : 836.58 = 493.84 : x
  2. Step 2: Convert to fraction form
    605.86/836.58 = 493.84/x
  3. Step 3: Cross multiply
    605.86x = 836.58 × 493.84
  4. Step 4: Simplify right side
    605.86x = 413,136.67
  5. Step 5: Solve for x
    x = 413,136.67/605.86
  6. Step 6: Final answer
    x = 681.90

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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.