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Finding the Fourth Proportional to 494.20, 677.87 and 491.80

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Solution

The fourth proportional to 494.20, 677.87 and 491.80 is: 674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 677.87 = 491.80 : x
  2. Step 2: Convert to fraction form
    494.20/677.87 = 491.80/x
  3. Step 3: Cross multiply
    494.20x = 677.87 × 491.80
  4. Step 4: Simplify right side
    494.20x = 333,376.47
  5. Step 5: Solve for x
    x = 333,376.47/494.20
  6. Step 6: Final answer
    x = 674.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.