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Finding the Fourth Proportional to 620.82, 931.86 and 490.86

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Solution

The fourth proportional to 620.82, 931.86 and 490.86 is: 736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.82 : 931.86 = 490.86 : x
  2. Step 2: Convert to fraction form
    620.82/931.86 = 490.86/x
  3. Step 3: Cross multiply
    620.82x = 931.86 × 490.86
  4. Step 4: Simplify right side
    620.82x = 457,412.80
  5. Step 5: Solve for x
    x = 457,412.80/620.82
  6. Step 6: Final answer
    x = 736.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.