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Finding the Fourth Proportional to 496.02, 688.82 and 491.22

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Solution

The fourth proportional to 496.02, 688.82 and 491.22 is: 682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 688.82 = 491.22 : x
  2. Step 2: Convert to fraction form
    496.02/688.82 = 491.22/x
  3. Step 3: Cross multiply
    496.02x = 688.82 × 491.22
  4. Step 4: Simplify right side
    496.02x = 338,359.70
  5. Step 5: Solve for x
    x = 338,359.70/496.02
  6. Step 6: Final answer
    x = 682.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.