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Finding the Fourth Proportional to 496.96, 690.56 and 491.68

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Solution

The fourth proportional to 496.96, 690.56 and 491.68 is: 683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.96 : 690.56 = 491.68 : x
  2. Step 2: Convert to fraction form
    496.96/690.56 = 491.68/x
  3. Step 3: Cross multiply
    496.96x = 690.56 × 491.68
  4. Step 4: Simplify right side
    496.96x = 339,534.54
  5. Step 5: Solve for x
    x = 339,534.54/496.96
  6. Step 6: Final answer
    x = 683.22

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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.